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.

Answer 1

The light house is 48 feet tall

Explanation:

From Zara information:

Zara is 4 feet tall.

Zara shadow is 3 feet long.

We can see the ratio actual tallness to shadow length to be 4 : 3

i.e actual tallness : shadow length

= 4:3

Since we have the shadow length of the light house to be 36feet

Let x represent the tallness of the light house.

= 4 : 3

= X : 36

4/3 = x/36

3x = 144

x = 144/3 = 48

The light house is 48 feet tall

Answer 2

The height of the lighthouse is 48 feet

Explanation:

The question is incomplete but I presume the complete question is asking that the height of the lighthouse (in feet) should be calculated;

I'll answer this question based on that assumption;

Given

Shadow of lighthouse, S = 36ft

Height of Zara, h = 4ft

Shadow of Zara, s = 3ft.

We're to calculate the height of lighthouse, using the given data.

First, we need to calculate the magnifying ratio, M.

For Zara, M = s/h

M = 3/4

For the lighthouse,

M = S/H = 36/H

Since, M = M; We have

36/H = 3/4 ---- Make H the subject of formula

H = 4 * 36/3

H = 4 * 12

H = 48 feet

Hence, the height of the lighthouse is 48 feet