Question

2
Question 1 (Multiple Choice Worth 4 points)
(05.03 MC)
Kayson is looking at two buildings, building A and building B, at an angle of elevation of 59º. Building A is 40 feet away, and building B is 60 feet away.
Which building is taller and by approximately how many feet?
O Building A; it is around 66.57 feet taller than building B
O Building A; it is around 33.29 feet taller than building B
O Building B; it is around 66.57 feet taller than building A
O Building B; it is around 33.29 feet taller than building A

Answer 1

Answer:

Building B; it is around 33.29 feet taller than building A

Explanation:

Given that when things are nearer they appear bigger, hence, if the buildings have the same angular elevation from the same spot, the taller building is further away.

This is based on the fact that the hypotenuse touches the top of building A and keeps ongoing at the same angle to building B, further away.

Therefore, we have =>

tan A = ht / 40

ht A = 40 tan 59 = 66.57 ft

tan B =ht / 60

ht B = 60 tan 59 = 99.86 ft.

Therefore, 99.86ft - 66.57ft = 33.29fr

Hence, Building B is taller by 33.29