1. The angle of elevation to the top of a building from a point 100 m away from the building on level ground is 78°. Find the height of the building.
1. The angle of elevation to the top of a building from a point 100 m away from the building on level ground is 78°. Find the height of the building.
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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problem solving with trigonometry
![1. The angle of elevation to the top of a building from a point 100 m away from the building on level ground is 78°. Find the height of the building.
To solve this problem, you can use trigonometry. Specifically, the tangent of the angle of elevation can be used:
\[
\tan(78^\circ) = \frac{\text{height of the building}}{100}
\]
Rearrange the equation to solve for the height of the building:
\[
\text{height of the building} = 100 \times \tan(78^\circ)
\]
Use a calculator to find \(\tan(78^\circ)\), and then multiply by 100 to get the height of the building.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56343518-6573-4718-8606-b00cef1fba0c%2Fba4a88c8-954f-42f4-b4ba-77eae18035c7%2Fw83r3in_processed.png&w=3840&q=75)
Transcribed Image Text:1. The angle of elevation to the top of a building from a point 100 m away from the building on level ground is 78°. Find the height of the building.
To solve this problem, you can use trigonometry. Specifically, the tangent of the angle of elevation can be used:
\[
\tan(78^\circ) = \frac{\text{height of the building}}{100}
\]
Rearrange the equation to solve for the height of the building:
\[
\text{height of the building} = 100 \times \tan(78^\circ)
\]
Use a calculator to find \(\tan(78^\circ)\), and then multiply by 100 to get the height of the building.
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