Question about Educational & Reference Software

Assuming that the angle at A is the right angle, Pythagoras' theorem says that the length of the hypotenuse (the side opposite the right angle) is the square root of the sum of the squares of the other two sides. In your case, AB and AC are 'the other two sides' and BC is the hypotenuse, so:

__ __ __ __

/ 2 2 /

length BC = V 10 + 20 = V 100 + 400

__ __

= V 500 = 22.36 cm

(To find the angle at C, you need trigonometry and is arc-tan(10/20)

and the angle at B is arc-tan(20/10) - 26.5 deg and 63.5 deg)

/ 2 2 /

length BC = V 10 + 20 = V 100 + 400

= V 500 = 22.36 cm

(To find the angle at C, you need trigonometry and is arc-tan(10/20)

and the angle at B is arc-tan(20/10) - 26.5 deg and 63.5 deg)

Oct 17, 2014 | Educational & Reference Software

"Hypotenuse" implies a right angle triangle is wanted here. With Pythagoras' Theorem it is always good to look first for a 3-4-5 pattern, the simplest ratio, although a right angle triangle easily can be other ratios too.

24 x 32 is (3 x 8) x (4 x 8) so it is a 3-4-5 triangle after all, and the hypotenuse is then 5 x 8 = 40

Or, you could calculate SQRT (24^2 + 32^2) = 40

24 x 32 is (3 x 8) x (4 x 8) so it is a 3-4-5 triangle after all, and the hypotenuse is then 5 x 8 = 40

Or, you could calculate SQRT (24^2 + 32^2) = 40

Aug 12, 2014 | Educational & Reference Software

If I understand your terminology correctly, you have a triangle with a hypotenuse of 6' 3-13/16" and a side opposite the angle you wish to find with a length of 8" (and a side adjacent to the angle you wish to find with a length of 6' 3-3/8") Trigonometry says that the sine of an angle is the length of the opposite side divided by the hypotenuse. (all units must be the same, so convert everything to inches)

So sine (angle) = 8/(6 * 12 + 3 + 13/16)

sine (angle = 8/(75.8125)

sine(angle) = .105523

angle = arc-sine(.105523)

angle = 6.0573 degrees (from tables, calculator, computer etc)

So sine (angle) = 8/(6 * 12 + 3 + 13/16)

sine (angle = 8/(75.8125)

sine(angle) = .105523

angle = arc-sine(.105523)

angle = 6.0573 degrees (from tables, calculator, computer etc)

Jun 07, 2014 | CyberEd Trigonometry Problem Solver

Hi,
Trigonometry is defined as: The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles. See more information on trigonometry by clicking here.
Hope this helps. If it does, please accept and rate the solution! Contact me with any more questions you may have. Thanks for using FixYa!

May 22, 2011 | Educational & Reference Software

In right triangle we are making 90 degree angle triangle, we can have problem for finding hypotenuse or finding sin or cos values of the side of the triangle.
For ex,Find out the hypotenuse,sin and cos value of the right triangle with base 4 cm and perpendicular 3 cm
Solution:Hypotenuse = SQRT(4^2 + 3^2)
=SQRT(4*4 + 3*3)
=SQRT(16+9)=SQRT(25)=5 cm
For right triangle,
sin(x)=3/5=0.6
cos(x)=4/5 =0.8

Jul 16, 2010 | Super Tutor Trigonometry (ESDTRIG) for PC

It is not clear which angle you are talking about...

In one case the Hypot = 36/(cos(63)) meters. (about 79 meters)

The other case Hypot = 36/(cos(90-63)) meters (about 40 meters)

In one case the Hypot = 36/(cos(63)) meters. (about 79 meters)

The other case Hypot = 36/(cos(90-63)) meters (about 40 meters)

Sep 12, 2009 | Super Tutor Trigonometry (ESDTRIG) for PC

height =50

length = 60

angle=x

tangent(x)=50/60

tangent(x)=0.833

x=39.8 degree

length = 60

angle=x

tangent(x)=50/60

tangent(x)=0.833

x=39.8 degree

Mar 01, 2009 | Super Tutor Trigonometry (ESDTRIG) for PC

Hi rowanwah

The sine of an angle is only applicable is a right triangle. If you just want a number, ie, the actual value of the sine 15 degrees you can look it up on Google. Do a search for "sine and cosine functions"

If you want the mathematical description of the sine of an angle it is described as follows

In a triangle ABC, there are 3 angles angle A, angle B and angle C. There are also 3 sides, Side AB, Side AC and side BC. The sine of angle A is equal to the side opposite Angle A divided by the Hypotenuse (the longest side opposite the right angle)

The Cosine of angle A is equal to the side adjacent to Angle A divided by the hypotenuse

Hope this helps Loringh PS Please leave a rating for me Thanks

The sine of an angle is only applicable is a right triangle. If you just want a number, ie, the actual value of the sine 15 degrees you can look it up on Google. Do a search for "sine and cosine functions"

If you want the mathematical description of the sine of an angle it is described as follows

In a triangle ABC, there are 3 angles angle A, angle B and angle C. There are also 3 sides, Side AB, Side AC and side BC. The sine of angle A is equal to the side opposite Angle A divided by the Hypotenuse (the longest side opposite the right angle)

The Cosine of angle A is equal to the side adjacent to Angle A divided by the hypotenuse

Hope this helps Loringh PS Please leave a rating for me Thanks

Nov 15, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

Hi Jehho soria

Draw a right triangle with the vertical portion of the triangle representing the 37 meters of the light house The base of the triangle is the distance we are trying to find. If the angle of depression is 15 degrees, the other angle is 75 degrees. This is the angle from the boat to the top of the lighthouse.

so The Tangent of 75 degrees is equal to the side opposite the angle (the height of the lighthouse) divided by the side adjacent (the distance we are trying to find.

solving for the distance we get distance = 37 divided by the tangent of 37 degrees

Looking up the tangent of 15 degrees on google give .2679

dividing 137 by .2679=138,1 meters

Hope this helps Loringh PS Please leave a rating for me.

Draw a right triangle with the vertical portion of the triangle representing the 37 meters of the light house The base of the triangle is the distance we are trying to find. If the angle of depression is 15 degrees, the other angle is 75 degrees. This is the angle from the boat to the top of the lighthouse.

so The Tangent of 75 degrees is equal to the side opposite the angle (the height of the lighthouse) divided by the side adjacent (the distance we are trying to find.

solving for the distance we get distance = 37 divided by the tangent of 37 degrees

Looking up the tangent of 15 degrees on google give .2679

dividing 137 by .2679=138,1 meters

Hope this helps Loringh PS Please leave a rating for me.

Nov 14, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

C = 3B = 2(A+B)

3/2 B = A+B

1/2B = A

C = 2 (1/2B + B)

C = 3B

**A = 1/2B

C = 3B

B = B

1/2B + 3B + B = 4 1/2 B

180/4.5B => B = 40

If B = 40, then A = 1/2B = 20 and C = 3B = 120.

**answer: A = 20 degrees, B = 40 degrees and C = 120 degrees.

3/2 B = A+B

1/2B = A

C = 2 (1/2B + B)

C = 3B

**A = 1/2B

C = 3B

B = B

1/2B + 3B + B = 4 1/2 B

180/4.5B => B = 40

If B = 40, then A = 1/2B = 20 and C = 3B = 120.

**answer: A = 20 degrees, B = 40 degrees and C = 120 degrees.

Jun 27, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

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