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Chapter 8: Q. 43 (page 516)

The hypotenuse of a right triangle is 5 inches. If one leg is 2 inches, find the degree measure of each angle.

Short Answer

Expert verified

So, the angles of right triangle are23.6掳,66.4掳,90掳.

Step by step solution

01

Given Information

Given that the hypotenuse of a right triangle is 5 inches and one leg is 2 inches.

02

Solution

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

So in 鈻�ABC

sin(x)=ABACsin(x)=25x=sin-125x鈮�23.6掳

So, angle C is 23.6掳.

Now angle A is 180掳-(鈭�B+鈭�C).

鈭�A=180掳-(90掳+23.6掳)鈭�A=66.4掳

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Most popular questions from this chapter

In the given problem solve the triangle using either the law of sines or law of cosines-

A=65掳,B=72掳,b=7

Rework Problem 8 under the same conditions except that, at time t = 0, the object is at its resting position and moving down.

Mollweide鈥檚 Formula For any triangle, Mollweide鈥檚 Formula (named after Karl Mollweide, 1774鈥�1825) states that a+bc=cos12A-Bsin12C

Derive it.

[Hint: Use the Law of Sines and then a Sum-to-Product Formula. Notice that this formula involves all six parts of a triangle. As a result, it is sometimes used to check the solution of a triangle.]

Designing an Awning An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50掳 with the wall. The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the Sun is more than 65掳. See the figure. Find the length L of the awning.

Find the area of the triangle. Round answer to two decimal places.

A=50掳,C=20掳,a=3
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