39,784 views
40 votes
40 votes
While walking to school you pass a barn with a silo. Looking up to the top of the silo you estimate the angle of

elevation to the top of the silo to be about 14°. You continue walking and find that you were around 40 m from
the silo. What is the height of the silo?

User ArtBelch
by
2.8k points

1 Answer

9 votes
9 votes

Answer:

9.97 meters

Explanation:

The silo is one leg of a right triangle the other leg is the distance from the silo

for a right triangle tan = opposite side / adjacent side

tan(14) = height/40

40 tan 14 = height = 9.97 m

User Marsibarsi
by
3.4k points
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