angle of depression

Question

a pilot flies an altitude of 25,000 ft. over level ground. The pilot observes a crater on the ground at an angle of depression of 5 degrees. If the plane continues for 80000 more feet toward the crater, what will be the angle of depression to the crater? Answer in the nearest degree.

Answer 1

Draw and label a diagram!

A is the airplane's first position.

B is the point on the ground directly below the airplane

C is the crater

D is a point 80000 from B

E is the point 25000 ft above D.

 

m∠CAB = 95°

cot 95° = 25000 / CB, solve for CB

CD = CB - 80000

cot CDE = 25000 / CD

 

Can you solve and answer?