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Chapter 8: Q. 45 (page 516)

A right triangle has a hypotenuse of length 8 inches. If one angle is 35掳, find the length of each leg.

Short Answer

Expert verified

So, the length of each leg is4.584in,6.55in,8in.

Step by step solution

01

Given Information 

Given that in a right triangle has a hypotenuse of length 8 inches and one angle is 35掳.

02

Solution

We can draw a figure of the given problem as: -

So in 鈻�ABC,鈭�B=90掳,

then,

role="math" localid="1647017278920" sin(35掳)=ABACsin(35掳)脳AC=ABAB鈮�0.573脳8AB鈮�4.584in

Now,

cos(35掳)=BCACcos(35掳)脳AC=BCBC鈮�0.819脳8BC鈮�6.55in

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