Lucia is 5.5 feet tall. She is standing on the roof of a building that is 80 feet tall. She spots a fountain at ground level that she knows to be 122 feet away from the base of the building. What is the measure of the angle of depression formed by Lucia's horizontal line of sight and her line of sight to the fountain? Round your answer to the nearest degree.

125°

Step-by-step explanation:

So we know that the total height is 85.5 (building height plus Lucia's height) and that the distance between Lucia and the fountain is 122ft away. As seen in the badly drawn picture below, the question asks us to solve for x, we can do this by first solving for y by using tangent to calculate its value which is the following

tan(y) = opposite / adjacent

tan(y) = 122 / 85.5

tan(y) = 1.4269

y = (1.4269)

y = 54.97

Now that we have the value of y and we know that a straight line has a degree of 180, we can simply subtract the degree of y from 180 to get the degree of x

180 - 54.97 = 125.03

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5