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38. A 20-foot lamp post casts a shadow of 15 ft, and the nearby guard tower casts a shadow of 30 ft. How high is the guard tower to the lamp post? A. 10 ft. C. 30 ft. B. 20 ft. D. 40 ft.​

Sagot :

Answer:

D. 40 ft.

Step-by-step explanation:

Since a 20 ft lamp produce a 15 ft shadow, and the guard tower produces 30 ft, it means in order for the guard tower to reach 30 ft, it needs to be twice as high as the lamp. So:

20 ft (the height of the lamp post) x 2 (twice as high to produce twice as high as the lamp post) = 40 ft.

In short,

20 ft x 2 = 40 ft.

Hope it helps you. :)