293.3 feet far from the ground Sonny's line of sight option (D) 293.3 feet is correct.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Sonny lives in a tall apartment building. He looks out his window and spots a car on the road that runs straight toward his building. His angle of depression to the car is 19°.
Based on the above data we can draw a right-angle triangle:
In the triangle:
ABC:
tan19 = AB/BC
(x)tan19 = AB
In the triangle ABD:
tan9 = AB/BD
AB = (x + 1000)tan9
(x)tan19 = (x + 1000)tan9
After solving:
x = 851.78 ft
AB = xtan19
AB = 851.78(tan19)
AB = 293.29 ≈ 293.3 feet
Thus, 293.3 feet far from the ground Sonny's line of sight option (D) 293.3 feet is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
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