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

Answer: 9.17 FT

Explanation:

Answer 2

9.17 feet.

Explanation:

See the diagram attached to this answer.

Let, AB is the pole and CD is the tree.

From the top of the pole to the base of the tree the angle of depression as per the condition is 63°.

So, ∠ EBC = ∠ ACB = 63° {Since, BE ║ AC}

So, from Δ ABC,
`\tan 63 = (AB)/(AC) = (18)/(AC)` {Given height of the tower AB = 18 feet}

⇒
`AC = (18)/(\tan 63) = 9.17` feet.

Therefore, the distance between the pole and the tree is 9.17 feet. (Answer)