Question

Joe is 6 A tall, and stands 30 ft away from a pole. If his line of sight to the top is at a 40° angle above the
horizontal approximately how tall is the pole?​

Answer 1

Answer:

Height of pole =

31 feet

Step-by-step explanation:

Here, we are to calculate the height of the pole.

Please check the attachment for diagrammatic representation of the question.

We use trigonometric ratio to calculate the length AC first.

The ratio to use here is Tan

This is because we have the adjacent and we want to calculate the opposite

Mathematically;

Tan of an angle = length of opposite/length of adjacent

Tan 40 = AC/30

AC = 30Tan 40 = 25.17 which is approximately 25 feet

The height of the pole is the length CE + AC

CE = BD = 6 ft since they are opposite sides of rectangle BCDE

The height of the pole is thus 6 + 25 = 31 feet approximately