SOLUTION: If I have a right triangle whose angles are 90 degrees, 53 degrees, and 37 degrees, and I know the hypotenuse is 6, what are the lengths of the other two sides?

Algebra.Com
Question 458023: If I have a right triangle whose angles are 90 degrees, 53 degrees, and 37 degrees, and I know the hypotenuse is 6, what are the lengths of the other two sides?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If I have a right triangle whose angles are 90 degrees, 53 degrees, and 37 degrees, and I know the hypotenuse is 6, what are the lengths of the other two sides?
----
Draw the picture:
Let the side opposite the 53 degree angle be "a"
Let the side opposite the 37 degree angle be "b"
------------------------
Sin(53) = a/6
a = 6*sin(53) = 4.7918
-----------
cos(53) = b/6
b = 6*cos(37) = 3.6109
===========================
Cheers,
Stan H.

RELATED QUESTIONS

when the angles of a triangle are (2x)degrees (5x=13)degrees and 90 degrees what is x (answered by Fombitz)
The measure of a right triangle is 74 degrees. I have already figured out the measures of (answered by fcabanski)
I have several problems where I am given a right triangle with the length of one side and (answered by rfer)
What is the hypotenuse of the right triangle if it's legs are 11 and 60... (answered by ewatrrr)
In a right triangle one side is 8 ft and the other side is 6 ft. What are the measures of (answered by venugopalramana)
The area of a right triangle is 50. One of its angles is 45 degrees. What are the lengths (answered by math-vortex)
if the measurements of a triangle are 37 and 27 degrees what is the missing... (answered by mamiya)
I have a right angle triangle with a known base of 2". The othe angles are 70 and 20... (answered by Fombitz)
two angles of a triangle are 47 degrees and 74 degrees. what is the other? (answered by Fombitz)