Question

A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shadow that is 3 feet long. Use this information to complete the statement about the lighthouse. Math item stem image

The height of the lighthouse is ______feet.

Answer 1

Its 48 feet get to the answer fast its ttm ;D

Explanation:

Answer 2

At a particular time, objects and their shadows are proportionate.

Therefore, in figure,

`(AB)/(FD)= (BC)/(DE)` --- (1)

where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.

From the given information,

BC = 36 feet

FD = 4 feet and DE = 3 feet

(1) becomes

`(AB)/(4)= (36)/(3)`

`(AB)/(4)= 12`

AB = 48

Hence, the height of the lighthouse is 48 feet.