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Finding the length of a triangle

I have a triangle 1 angle 90 degrees, 1 angle 53 degrees and one angle 37 degrees. I have the length between the 90 degree and the 37 degree which is 45 feet. I need to know what the length is between the 90 degree and the 53 degree angles. thanks

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  • Anonymous Mar 19, 2014

    I just want to know what the name of the of the joint used when two pieces of wood are joined on a 45 degree angle and both pieces of wood stays in a straight line

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45 tan(37) or about 39.1 feet.

Posted on Mar 29, 2014

Might try

(54tan)/45

I don't have a calc that will do it or I would try it and see.

Posted on Aug 01, 2008

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Posted on Jan 02, 2017

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Question. a triangle with two sides 1700mm each with a 45 degree angle. what will the length be of the third side?


If 2 angles are 45 degrees, the other must be 90, so Pythagorus' Theorem applies, so it is sqrt ( 1700^2 + 1700^2 ) = 2404.16
or
for triangles, a / sinA = c / sinC so c = ( 1700 / sin (45) ) * sin (90) = 2404.16.

Oct 31, 2016 | The Computers & Internet

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Offset is 8 in run is 6ft 3 3/8in travel is 6ft 3 13/16in. How do I find the degree?


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)

Jun 07, 2014 | CyberEd Trigonometry Problem Solver

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How can you classify a triangle according to it angle? is there a formula for it


Well, there is classification by sides, equilateral with 3 equal sides, Isosceles with two equal sides, and scalene with no equal sides, but you talk about angles, but I wanted to point out equilaterals have 3 equal angles, isoceles have 2 equal angles and scalene have no equal angles.
So, now we talk about angles: a Right trianlge has one angle that is 90 degrees, an Obtuse triangle has one angle greater than 90 degrees, and an Acute has no angles over 90 degrees.
Thus, it is possible to have a (scalene or isoceles) AND (acute, obtuse, or right) triangle, but never an equilateral AND (obtuse or right). The angles can't be equal and 90+ degrees if all three must equal 180 degrees.

Oct 06, 2012 | Mathsoft StudyWorks! Middle School Deluxe...

1 Answer

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

1 Answer

Why is tan90 not defined?


The tangent of an angle (in a right triangle) is defined to be the length of the side opposite the angle, divided by the length of the side adjacent to the angle (that is not the hypoteneuse). As the angle approaches 90 degrees, the length of the opposite side gets very large and the length of the adjacent side nears 0. At 90 degrees, the length of the adjacent side is 0, and division by 0 is not defined, so the tangent of 90 degrees is not defined.

Nov 26, 2010 | Texas Instruments World of Mathematics...

2 Answers

Can you gave me a example of a right triangle problems?


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

1 Answer

Agasta ant starts at one edge of a placemant, 29.6 cm wide. she travels at 1.40 cm/sec at 52.o degree from one edge. how long will it take her to get across the width?


draw a right triangle. The bottom of the triangle is 29.6 cm and the angle is 52 degrees (from the other edge). note: triangle not to scale.

| \
|52 \
| \
| \
| \ |
|_____38\ 52|
29.6

Therefore the inside of the angle is 38 (90-52) and the opp angle is also 52 (90-38)

sine = opp / hyp therefore hyp = opp / sine

length of hypotenuse is: 29.6 * sine 52 deg.

therefore the length of the hypotenuse is 23.32511 cm. the ant travels 1.4 cm / sec so the ant travels to the other edge in 16.66 seconds.

Oct 21, 2009 | Whirlpool LER4634J Electric Dryer

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1. calculation for excel spreadsheet macro for calculating the a right angle triangles hypotinuse and opposite side, angle given


Hello this is Baris,
First off all when you say hypotinuse I think it is a 90 Degree triangle. Total of the angles off a triangle is 180 degree. So it is a simple algebra question.

Hypotinuse is 90
Right angle is R
Left angle is L
Total is 180

Equation is 90+ R +L = 180

We are looking for R, so lets arrange our equation.

R= 180 - 90 - L
R= 90 - L

This is our formula for excel

Lets put it in the excel
Type in A1 "hypotinuse "
Type in A2 "Left Angle"
Type in A3 "Right Angle"

Type in B1 90
Type in B2 "whatever the value given for the left angle"
Type in B3 =90-B2

As soon as you change the value in the cell B2, B3 will change by itself. Hope this helps :)


Sep 27, 2009 | Microsoft Excel for PC

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