Question

A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7 degrees. How high is the lamppost? Round to the nearest foot

Answer 1

Answer:

12 feet or 12 ft

Step-by-step explanation:

We solve for this question using Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = Angle of elevation = 33.7°

Opposite side = Height of the lamp = ??

Adjacent side = Shadow of the lamp = 18 feet

Hence,

tan 33.7° = Opposite/ 18

tan 33.7° × 18 = Opposite

Opposite = 12.004507735 feet

Approximately to the nearest foot = 12.0feet

Answer 2

The height of the lamppost with a shadow of 18 ft. is 12 feet.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the lamppost, hence:

tan(33.7) = h/18

h = 12 feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

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