   Chapter 8.1, Problem 39E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Analyzing triangles In Exercises 33-40, solve the triangle for the indicated side and/or angle. To determine

To calculate: The value of side s and angle θ in a triangle provided below. Explanation

Given Information:

The provided triangle is shown below,

Formula used:

When two triangles are similar or have equal angles then the ratio the two sides are equal and corresponding angles opposite to these sides are also equal.

Pythagorean theorem for any right triangle is such that c2=a2+b2, where a, b are the two perpendicular sides of a triangle and c is the length of hypotenuse.

Calculation:

Consider the triangle provided below.

From above diagram of provided triangle, the largest triangle is similar to the two smallest triangles ΔABCΔADB and ΔABCΔBDC.

So, the unknown angle θ can be calculated by using the concept of similar property of triangle as:

DBC=BACθ=60°

Calculate side AC by using Pythagorean theorem

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