Question

A man standing 24 feet from a flagpole observes the angle of elevation of its top to be 38°. Find the height of the flagpole to the nearest tenth.

Answer 1

Answer: the height of the flagpole is 21 ft

Answer 2

Angle of elevation is the angle between a horizontal plane and an object at a higher height. The height of the flagpole is 18.7 feet.

Given that:

$d = 24$

$\theta = 38^o$

See attachment for illustration

The height (h) is calculated using:

$\tan(\theta) = \frac{Opposite}{Adjacent}$

So, we have:

$\tan(38) = \frac{h}{24}$

Make h the subject

$h = 24 \times \tan(38^o)$

$h = 24 \times 0.7812$

$h = 18.7$

The height of the flagpole is 18.7 feet.

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