Answer:
C. 22.61 ft
Step-by-step explanation:
Looking at the image, we are given an angle of depression of 53°, which means that Sally's perspective is downwards. Macy is 30 ft from the building on the ground at a negligible angle. We are asked to determine the height of the building.
To solve for the height, we will require use of trig functions, and in this case, it would be tan since we are given the opposite side and need to obtain the adjacent side.
tan [tex]\theta[/tex] = opposite/adjacent
Establish the function:
tan 53° = 30 ft/x
Solve for x (height).
x tan 53° = 30 ft
x = 30 ft / tan 53°
x = 22.6066 ft
Looking at the answer choices, they appear to end at the hundredths place or 2 points behind the decimal, so we can round our answer.
22.6066 ft ---> 22.61 ft
Therefore, the correct answer would be:
C. 22.61 ft