Question about Office Equipment & Supplies

# Solve the right triangle shown in the figure, given the following measures. Remember, exact lengths can be approximated on a calculator. For example, .

Posted by on

• paulgbrandon Dec 05, 2016

×

Hi,
A 6ya expert can help you resolve that issue over the phone in a minute or two.
Best thing about this new service is that you are never placed on hold and get to talk to real repairmen in the US.
The service is completely free and covers almost anything you can think of (from cars to computers, handyman, and even drones).
Good luck!

Posted on Jan 02, 2017

A squared + B squared = C squared
15 squared + 15 squared = C Squared
225 + 225 = c squared
450 = c squared
the square root of 450 is 21.21320433

Posted on Apr 30, 2009

SOURCE: raise number to given power

cant solve simple problems

Posted on May 05, 2009

cos A = adjacent/hypotenuse = 19/24

A = Inverse cos (19/24) = 37.66

Posted on Jun 24, 2011

Yes, there is shortcut because this is right triangle, so you can use Pythagorean theorem (see picture).

1. Length of hypotenuse is square root of sum of squares of lengths of other two sides of triangle, which is equal to square root of 30^2+10^2=31.6 cm.
2. Sin(a)=longer cathetus/hypotenuse=0.949 so a=arcsin(0.949)=71.6 degrees
3. Finally b=90-a=18.4 degrees.

Posted on Sep 05, 2011

If you have learned about the trigonometric ratios (sine, cosine and tangent) you can use the tangent of the angle.
Let your run be to the right ( along the positive x-axis) and the rise be upwards along the positive y-axis. The tangent of the angle is
tan (theta)=rise/run=7.5/12
If the calculator is set with angle unit in degrees, the angle is obtained as the arc tangent of the (rise/run) value.

theta= arctan(7.5/12)=32.00538321 or about 32 degrees.

The arctan is the inverse of tan. To access it on the calculator press [2nd F][tan]
Depending on the calculator (sorry I do not have your model under my eyes)
Press [2nd F][tan] ( 7.5/12) [=]
or
7.5/12 = then [2nd F][tan] [ALPHA][Ans] [=]

Posted on Jan 21, 2012

×

my-video-file.mp4

×

## Related Questions:

### Formula to calculate hyportenuse

The formula to calculate the hypotenuse of a right angled triangle is a^2 + b^2 = c^2 or in words, a squared plus b squared is equal to c squared. The most common mistake is that students make the hypotenuse a squared or b squared. The hypotenuse has to be c squared. Thus, when figuring out the sides of a right-angled triangle, always make sure the hypotenuse is the longest side.

For example, a triangle with sides of length 3 and 4, calculate the hypotenuse. Let a be 3 and b be 4. 3^2 + 4^2 = c^2 or 9+16 = c^2, or 25 = c^2. Now take the square root of both sides and we get c = 5.

Feb 18, 2015 | Office Equipment & Supplies

### / The diagram shows corresponding lengths in two similar figures. Find the area of the smaller figure. A. 16 cm2 B. 18 cm2 C. 20 cm2 D. 36 cm2

Your question is not clear at all. What are all those area measures in cm^2?
Take two segments that correspond to one another and for which you have the lengths.
This will allow you to find the scale factor k.
k= (length of a segment in smaller figure)/(length of the corresponding segment in larger figure).
Then
Area of smaller figure =k^2(area of larger figure)
In the formula above insert the area of the larger figure as given to you or as calculated by you using the shape and dimensions of the figure.

Apr 09, 2014 | Texas Instruments TI-83 Plus Calculator

### The city park shown at the right has an area of 6889 square meters. The park's length along Front Street is 83 meters. Find the length of the park along Second Avenue. The park is a triangle.

Without knowing some more information, such as either the angle between Front Street and Second Avenue or the length of the third side (or the picture "shown at the right"), this question is impossible to answer.

I can say that it must be at least 186 meters.

Dec 03, 2012 | Texas Instruments TI-83 Plus Calculator

### To find the area of a triangle when 3 sides are given

There is a formula due to an ancient Greek mathematician called Heron or Hero.

There are no special instructions to enter it on the calculator except that all measures must be expressed in the same unit (cm, inches, meters, etc.).
To avoid errors, pay attention to the parenthesis before the 1st factor, and the parenthesis at the end: You must enter them to make sure that the square root argument is the intended one, that is p(p-a)(p-b)(p-c).

Aug 01, 2012 | Casio Fx-991es Scientific Calculator

### Given a length of 30 cm on the x axis and a length of 10 cm on the y axis and a angle of 90 at the x/y axis intersection is there a short cut to calculate interior angles and hypot. of the triangle?

Yes, there is shortcut because this is right triangle, so you can use Pythagorean theorem (see picture).
1. Length of hypotenuse is square root of sum of squares of lengths of other two sides of triangle, which is equal to square root of 30^2+10^2=31.6 cm.
2. Sin(a)=longer cathetus/hypotenuse=0.949 so a=arcsin(0.949)=71.6 degrees
3. Finally b=90-a=18.4 degrees.

Sep 05, 2011 | Texas Instruments TI-30XA Calculator

### The city park shown at the right has an area of 6889 square meters. The park's length along the Front Street is 83 meters. Find the length of the park along Second Avenue.

Since I can't see the figure, I'm going to assume the park is rectangular. You are given the length along one side (Front St).

For a rectangle, area A = S1 * S2, where S1=Front St length=83 m, and S2=unknown Second Ave.

Rearrange the equation: S2 = A / S1 = 6889 sq m / 83 m.

Solve for S2 and you'll have the length along Second Ave.

Nov 23, 2010 | Texas Instruments TI-83 Plus Calculator

### How much will be height from one point to other for 14.4 mts with

I am not exactly sure what the 14.4 m distance represents: The horizontal part or the inclined one.

A. If the 14.4m is the length of the horizontal leg, then the height is given by tan(3 deg)=h/14.4m or h=14.4m*tan(3 deg) =0.75467 m.

B. However if 14.4 m is the length of the inclined part (the hypotenuse) of the triangle, then the height is given by
sin(3 deg)= h/14.4m or h=14.4 m *sin(3 deg)= 0.75363 m

As you can see, the values are approximately equal, because for angles less than 10 deg, the sine and tangent are approximately equal.

I am no construction engineer, but it seems to me that a 3 deg pitch in not much of an inclination. Maybe you meant 30 degree pitch.

If that be the case, the calculations are performed the same way as above: Just substitute 30 deg for 3 deg.

May 08, 2010 | Casio FX-115ES Scientific Calculator

### I am having trouble figuring out why my ti 89 has trouble figuring out integrals. for example i know that the integral of x^2 is x^3/3+c but my ti 89 gives me the answer in a decimal of fraction form. i do...

The calculator does not give a result of an integration with a constant. The form of the result will depend ob the EXACT/APPROXIMATE mode you have selected.
In the following screen capture, your integral has been evaluated with mode set to EXACT,AUTO, and APPROXIMATE. Pay attention to the syntax.

To set the computational mode to EXACT, press the MODE button use the Function keys F1,F2 or F3 to move from page to page, point to EXACT/APPROX and use the right arrow key to unfold the submenu, then the Up or Down arrow to select AUTO, EXACT or APPROXIMATE and press ENTER to SAVE Configuration.
If the integral cannot be found in EXACT mode, the calculator will echo the command without calculating the integral.

Apr 26, 2010 | Texas Instruments TI-89 Calculator

### Hello

You need to change a setting in the mode menu.
Change exact/approx to approximate and your answer will be given in decimal.

Jun 12, 2008 | Texas Instruments TI-89 Calculator

## Open Questions:

#### Related Topics:

550 people viewed this question

Level 3 Expert

Level 3 Expert