Question

You are standing on top of a building looking down at your friend who is getting chased by a zombie. The building is 150 feet tall. When your friend looks up, the angle of elevation is 50°. When the zombie looks up at you, the angle of elevation is 25°.

Answer 1

Answer:

a) 125.86 feet

b) 321.68 feet

c) 195.82 feet

Step-by-step explanation:

a)

To find the distance from the friend to the build, we just need to use the tangent relation of his angle. The opposite side is the height of the building and the adjacent side is his distance to the building:

tangent(50) = height / distance

1.1918 = 150 / distance

distance = 150 / 1.1918 = 125.86 feet

b)

Similarly to letter a), we can use the tangent relation of the zombie's angle, where the opposite side is the height of the building and the adjacent side is his distance to the building:

tangent(25) = height / distance

0.4663 = 150 / distance

distance = 150 / 0.4663 = 321.68 feet

c)

To find the distance from the zombie to the friend, we just need to subtract the two distances:

Distance = 321.68 - 125.86 = 195.82 feet