SOLUTION: A right triangle has a hypotenuse of length 8 inches. If one angle is 35 degrees, find the length of each leg. Please help me with this question my textbook only shows how to

Algebra.Com
Question 496272: A right triangle has a hypotenuse of length 8 inches. If one angle is 35 degrees, find the length of each leg.
Please help me with this question my textbook only shows how to find the other leg when you are given one leg and a degree

Answer by cleomenius(959)   (Show Source): You can put this solution on YOUR website!
First I would find the other angle, 90 + 35 = 125.
180 -125 = 55 degrees.
We can use the sin function, since know the hypotenuse.
Sin 35 degrees = opp/hypotenuse = 4.59 inches for this side.
sin 55 degrees = opp/hypotenuse = 6.55 inches for this side.
4.59^2 + 6.55^2 = 8^2
21.1 + 42.9= 64 inches
This does check.
Cleomenius


RELATED QUESTIONS

A right triangle has a hypotenuse of length 8 inches. If one angle is 35 degrees find the (answered by Alan3354)
A right triangle has a hypotenuse of length 7 inches. If one angle is 31 degrees, find... (answered by Cromlix,solver91311)
A right triangle has a hypotenuse of length 3 inches. If one angle is 40 degrees, find... (answered by Fombitz)
a triangle has a hypotenuse of length 10cm.if one angle is 40 degrees, what is the length (answered by Alan3354,solver91311)
one leg of a right triangle has length 8 inches and the hypotenuse has length 10 inches.... (answered by jorel1380)
The longer leg of a right triangle is 35 inches longer than the other leg. Find the... (answered by rfer)
#1---The length of one leg of a right triangle is 12 meters. the length of the hypotenuse (answered by mananth)
The length of one leg of a right triangle is 8 inches. The length of the other leg is 6... (answered by swincher4391)
The length of one leg of a right triangle is 8 inches. The length of the other leg is 6... (answered by swincher4391)