Question

A pole that is 3.2m tall casts a shadow that is 1.14m long. At the same time, a nearby tower casts a shadow that is 39.75m long. How tall is the tower? Round your answer to the nearest meter.

Answer 1

112 meters

Explanation:

3.2/1.14 = x/39.75

3.2/1.14 = 2.81

2.81 * 39.75 = 111.57 = 112

Answer 2

• 112 meters

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The heights and shadows are proportional since they form similar triangles.

Set equal proportions and solve for the missing length:

• H/h = S/s, where H and h represent heights, S and s - shadows.

• H/3.2 = 39.75/1.14
• H = 3.2*39.75/1.14
• H = 112 (rounded)