Fast 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

48.7 degrees

Step-by-step explanation:

Let 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,

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for