Question

A vertical pole, 40 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is θ=67∘, use the dimensions given to find the length of the shadow, a, in feet. Do not include the units in your answer.

Answer 1

Answer:

Lenght of a shadow is 96.6

Step-by-step explanation:

you may use right angle triangle to find distance if you know angle of elevation.

                 

         (a)   adjacent                     (b)  hypotenuse

                             (c)   Opposite

we know that:

adjacent (a)=40

opposite (b)=?

         tan ∅= opposite/adjacent

                 tan 67°=opposite/40

                2.4142  * 40 = adjacent

                adjacent =96.6