Question

HELP FAST PLEASE

A six-feet-tall man looks off the roof of a five-story hotel. He sees a statue that is 75 ft. away from the hotel. If he is looking at the base of the statue, what angle does his sight line form with the side of the hotel? Assume that each complete story of the hotel is 12 ft. tall.

32.6 degrees
43.9 degrees
48.7 degrees
54.2 degrees

Answer 1

i think it is 48.7. if i get it wrong sorry

Answer 2

Answer: 48.7 degrees

Explanation:

Let
`\theta` is the angle between the his sight line form with the side of the hotel,

Since, the building is of 5-story and a men having height 6 feet is in the fifth-story.

Thus, the total length from the eyes of the man and foot of the building = 6 + 12 × 5 = 6 + 60 = 66 feet

Also, the distance of the statue from the foot of the building = 75 feet.

Then by the below diagram,

`tan\theta = (75)/(60+6)`

`tan\theta = (75)/(66)`

`\theta=48.6522227803\approx 48.7\text{ degree}`