a) Let's call the height of Karen's building "h" and the height of Patrick's building "k". We can use trigonometry to solve for each height.
For Karen's building:
tan(40°) = h/46
h = 46 tan(40°) ≈ 41 m
For Patrick's building:
tan(50°) = k/39
k = 39 tan(50°) ≈ 50 m
So Karen's building is approximately 41 m tall and Patrick's building is approximately 50 m tall.
b) Therefore, Patrick's building is taller than Karen's building by approximately 9 meters.
Matthew parks his car between Karen’s and Patrick’s apartment buildings. The car is 46 m in front of
Karen’s apartment building. The angle of elevation from the car to the top of the building is 40°. Matthew’s
car is 39 m away from Patrick’s apartment building. The angle of elevation from the car to the top of the
building is 50°.
a) Determine the height of each building, to the nearest metre.
b) State which building is taller, and by how much.
1 answer
1 answer