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,

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it