You place a mirror on the ground 6 feet from the lamppost. you move back 3 feet and see the top of the lamppost in the mirror. if you are 5 feet tall, what is the height of the lamppost?

Setting up a proportional relationship between mirror and lamppost, the height of the lamppost is 10 feets.

Setting up a proportional relationship :

Cross multiply :

Hl × 3 = 6 × 5

3Hl = 30

Hl = (30 ÷ 3)

Hl = 10

Therefore, the height of the lamppost is 10 feets.

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10 feet

Step-by-step explanation:

Let h be the height of lamppost.

Since both the person and the lamppost are standing vertical to the ground,  making similar right triangles.

Because the two triangles are similar, the ratio of their sides is the same.

Therefore, we have

Hence, the height of the lamppost = 10 feet.

they are simplified

step-by-step explanation: