The naturalist views an elephant in the distance, but he doesn’t know how far away the elephant is from him. he takes a view to find the a 22 degree angle of elevation. he moves backwards from the elephant pacing off a distance of 27 feet. he takes a second view and determines a new angle of elevation of 11 degrees. how tall is the elephant? how far away was the naturalist when he first saw the elephant

10.11 feet

Step-by-step explanation:

Let H ft be the elephant's height and x ft be the initial distance from naturalist to the elephant.

1. Naturalist takes a view to find the a 22 degree angle of elevation, then

2. Naturalist moves backwards from the elephant pacing off a distance of 27 feet, the distance from naturalist to the elephant becomes (x+27) ft. He takes a second view and determines a new angle of elevation of 11 degrees. Then

3. Solve the system of two equations:

Then

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it