Question

A lamp post is 10 ft tall and casts a shadow. The distance from the top of the lamp post to the tip of the shadow is 20 ft. What is the angle of elevation to the top of the lamp post?

Answer 1

Answer:

30°

Step-by-step explanation:

Sin= 10/20

Sin= 0.5

Use your calculator then and type in 0.5 and hit the sin(-1) button and you get your answer.

Answer 2

The angle of the elevation of the lamp is 30°.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Given that the height of the lamp is 10 ft and the distance from the top of the lamp post to the tip of the shadow is 20 ft.

The angle of the elevation is calculated by using the sin rule.

sinФ = perpendicular / Hypotenuse

sinФ = 10 / 20

sinФ = 1 / 2

Ф = sin⁻¹( 0.5 )

Ф = 30°

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