Question

Clark Kent and Lois Lane were laying on a blanket,enjoying a relaxing picnic when Clark noticed a giantasteroid approaching Earth. Clark calculates the angleof elevation of the asteroid's approach to be 62°. Lois'penthouse apartment is also in the pathway of theasteroid's approach, 100 feet above ground. Clark'seye is 75 feet from the base of Lois' building. Will theasteroid take out Lois' penthouse apartment? Show allwork and justify your answer.

Answer 1

Asteroid angle approach = 62°

Louise apartment heigh H = 100 feet

Clark distance from Lois apartment D = 75 feet

NOW GOTO Drawing

NOW find Angle A

tan A =H/D= 100/75 = 1.33

Then

A= 53.13 °

Asteroid angle A'= 62°

THEN WE CAN CONCLUDE

ITS NOT gonna hit Lois apartment

Because angle A < angle A'

53.13° < 62°