Question

The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63 degrees. If the telephone pole is 18 feet tall what is the distance between the pole and the tree

Answer 1

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Answer 2

Answer:

The distance between the pole and the tree is 35.28 ft .

Step-by-step explanation:

By using the trignometric property

$tan\theta = \frac{Perpendicular}{Base}$

As given

The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63 degrees.

If the telephone pole is 18 feet tall .

$tan\theta = \frac{BC}{AB}$

$\theta = 63^{\circ}$

AB = 18 ft

$tan\ 63^{\circ} = \frac{BC}{18}$

$tan\ 63^{\circ} = 1.96\ (Approx)$

BC = 18 × 1.96

     = 35.28 ft

Therefore the distance between the pole and the tree is 35.28 ft .