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Two stations in line with the foot of a tower, both on… | StemPy Lab
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Two stations in line with the foot of a tower, both on one side of it, are 56 m apart. The top is sighted at 45° from the farther station and at 60° from the nearer one. Find the height of the tower in metres.
Mathematics
Medium
High School (9–10)
General
Trigonometry › Heights and Distances
SAT
Created by
StemPy Lab
Two stations in line with the foot of a tower, both on one side of it, are
56
56
56
m apart. The top is sighted at
45
°
45°
45°
from the farther station and at
60
°
60°
60°
from the nearer one. Find the height of the tower in metres.
35.50
35.50
35.50
m
76.50
76.50
76.50
m
96.99
96.99
96.99
m
132.50
132.50
132.50
m
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← An observer on level ground sees the top of a statue 24 m high at an elevation θ with tan θ = 8/15. How far is she from the base of the statue?
A tower stands between two observers on the same straight road, who are 130 m apart. One sees its top at 45° and the other at 60°. Find the height of the tower in metres. →
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Trigonometry › Heights and Distances
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