Question

The sun hits a 30 foot flagpole at a 60 degree angle and cast an unobstructed 52 foot shadow. If a building is built 32 feet away, what height will the shadow strike the side of the building ? (Round to the nearest tenth)

Answer 1

11.5

Step-by-step explanation:

Answer 2

Height of building = 11.5 feet.

Step-by-step explanation:

Explanation:

Since we have given that

Height of flagpole = 30 foot

Length of shadow of flagpole = 52 foot

According to question, if a building is built 32 feet away,

Length of shadow of building will be

Let height of building be h.

Now, we know that there is direct variation, so it becomes

Hence, height of building = 11.5 feet.