Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY

#### Videos

Textbook Question
Chapter 3, Problem 1P

A laser range finder records the distance from the laser to the base and from the laser to the top of a building as shown in Fig. P3.1. Find the angle θ and the height of the building.

To determine

The angle θ and the height of the building.

The height of the building is 66.14 m and the angle θ

is 41.4°.

### Explanation of Solution

Given:

The given figure representing the building top and range finder is shown below.

Calculation:

Consider the below figure.

First calculate an angle θ ,

From the right angle triangle

cosθ=75100θ=cos1( 75 100)=41.4°

Therefore the angle θ

is 41.4°.

For the height of the building,

sinθ=opposite sideHypotenuse

sin(41.4°)=h100

0.6614=h100

h=0.6614×100=66.14m

Conclusion:

Thus, the height of the building is 66.14 m and the angle θ

is 41.4°.

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