The length of the shadow of a building is 120 meters, as shown below:

The shadow of a building is 120 meters long. The acute angle that the shadow makes with the line joining the tip of the building to the end of the shadow measures 60 degrees.

What is the height of the building?
A. 325.24 m
B. 240 m
C. 120 m
D. 207.84 m <--- I think that this is the answer

The length of the shadow of a building is 120 meters, as shown below: The shadow of a building is 120 meters long. The acute angle that the shadow makes with th class=

Answer :

bcalle
You would set up a ratio using tangent
tan 60 = x/120
120 tan 60 = x
x = 207.84 m
LETTER D

Answer:

D. 207.84 m

Step-by-step explanation:

The side we are given is adjacent to, or beside, the 60° angle.  The side we are finding the measure of is opposite this angle.

The ratio of opposite to adjacent is tangent; setting up the tangent equation, we have

tan 60 = x/120

Multiply both sides by 120:

120(tan 60) = (x/120)*120

120(tan 60) = x

207.84 = x

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