Question

An advertising blimp hovers over a stadium at an altitude of 125 m. The pilot sights a tennis court at and 8° angle of depression. Find the ground distance in a straight line between the stadium and the tennis court. Round to the nearest 100 m.

Answer 1

Answer:

Hence the ground distance is about 889m between stadium and Tennis court.

Step-by-step explanation:

Given:

A pilot at height of 125 m(flying the advertising blimp)

angle of depression=8 degrees.

To find :

The ground distance  stadium and tennis court.

Solution :

Using Trigonometric Function we can solve it ,

(Refer the attachment for fig)

Considering above data we get a triangle(ABC)

with point A represent pilot position and C court position and B as stadium.

The height AB=125 m

angle of depression= 8 degrees.

Using

tan∅ =AB/BC

tan(8)=125/BC

BC=125/tan(8)

=125/0.14054

=889.2

=889 m

Hence the ground distance is about 889m between stadium and Tennis court.