NO LINKS!! A blimp, suspended in the air of 500 feet, lies directly over a line from Soldier Field to the Adler Planetarium on Lake Michigan (see the figure). If the angle of depression from the blimp to the stadium is 32° and from the blimp to the Planetarium is 23°, find the distance between Soldier Field and the Adler Planetarium.

1978 ft (nearest foot)

Step-by-step explanation:

Using the Alternate Interior Angles theorem, we can deduce that the left base angle of the triangle is 32° and the right base angle of the triangle is 23°.

The triangle can be divided into 2 right triangles, both with height of 500ft (see attached diagram).

Using the tan trig ratio, we can calculate the base of each triangle.

where:

Left triangle

let = the base length

Right triangle

let = the base length

To find the distance between the Soldier Field and Adler Planetarium, simply sum and :

Therefore, the distance is 1978 ft (nearest foot)