the length of two sides of a triangle are 93 inches and 76 inches. The angle between these two sides is 99°. Find the length L in inches of the third side of the triangle. Approximate the length to one decimal place. (Enter a number.) L = inches

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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the length of two sides of a triangle are 93 inches and 76 inches. The angle between these two sides is 99°. Find the length L in inches of the third side of the triangle. Approximate the length to one decimal place. (Enter a number.) L = inches
Expert Solution
Step 1

Use the given information to draw a diagram and label it.

 

Trigonometry homework question answer, step 1, image 1

According to the diagram, we need to obtain the value of side c.

 

The cosine law of triangles states that, c2=a2+b2-2ab cosC, where a, b, c are the sides of the triangle and C is the angle opposite to side c.

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