To estimate the height of the jin mao tower in shanghai, a tourist sights the top of the tower form a mirror that is 87.6 meters from the tower. The mirror is on the ground and faces up. The tourist is 0.4 meters from the mirror, and the distance from his eyes to the ground is 1.92 meters

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Mathematics

2 January, 03:12

To estimate the height of the jin mao tower in shanghai, a tourist sights the top of the tower form a mirror that is 87.6 meters from the tower. The mirror is on the ground and faces up. The tourist is 0.4 meters from the mirror, and the distance from his eyes to the ground is 1.92 meters

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Cassidy Mcgrath · Answer 1

Set up a ratio of the height and distances:

Let X equal the height of the tower.

1.92 / 0.4 = X / 87.6

Cross multiply:

(1.92 * 87.6) = 0.4x

Simplify:

168.192 = 0.4x

Divide both sides by 0.4:

x = 168.192 / 0.4

x = 420.48 meters tall.

Round answer as needed.