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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°, 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°.

02

Solution

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

So in △ABC,∠B=90°,

then,

role="math" localid="1647017278920" sin(35°)=ABACsin(35°)×AC=ABAB≈0.573×8AB≈4.584in

Now,

cos(35°)=BCACcos(35°)×AC=BCBC≈0.819×8BC≈6.55in

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