Question

A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the shadow to the tip of the flagpole is 32 degrees. how tall is the flagpole? round your answer to the nearest foot.

Answer 1

Apex: 25 feet is the correct answer!

Step-by-step explanation:

Take it or leave it:) Good Luck

Answer 2

The height of the pole is 25 foot (approximate)

What is angle of elevation?

The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.

Given,

The shadow of the flagpole = 40 foot,

and the angle from the tip of the shadow to the tip of the flagpole = 32°

Perpendicular is the height of the pole and Base is its shadow.

Tan(x)=(perpendicular)÷(base)

Tan(32°) = 0.624869352

0.624869352 = (height of pole)÷40

0.624869352 x 40 = height of pole

24.9947741 = height of pole

Height of pole = 24.9947741

Height of pole ≈ 25 foot

Hence, tthe height of the pole is 25 foot (approximate)

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