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.

topic - application of trigonometry

Answered: 1. The angle of elevation to the top of…

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.

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