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Chapter 8: Q. 44 (page 516)

The hypotenuse of a right triangle is 3 feet. If one leg is 1 foot, find the degree measure of each angle.

Short Answer

Expert verified

So, the angles of the right triangle are 19.6°,70.4°,90°.

Step by step solution

01

Given Information

Given that the hypotenuse of a right triangle is 3 feet and one leg is 1 foot.

02

Solution

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

So in△ABC,∠B=90°

sin(x)=ABACsin(x)=13x=sin-113x≈19.6°

So, ∠C=19.6°

Now, ∠A=180°-(∠B+∠C).

∠A=180°-(90°+19.6°)∠A=90°-19.6°∠A=70.4°

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