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A surveyor sights the top of a pole from two marks, 7 m… | StemPy Lab
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A surveyor sights the top of a pole from two marks, 7 m and 63 m from its foot, both on one side of it. The two lines of sight are inclined at angles that sum to a right angle. Find the height of the pole.
Mathematics
Medium
High School (9–10)
General
Trigonometry › Heights and Distances
SAT
Created by
StemPy Lab
A surveyor sights the top of a pole from two marks,
7
7
7
m and
63
63
63
m from its foot, both on one side of it. The two lines of sight are inclined at angles that sum to a right angle. Find the height of the pole.
441
441
441
m
70
70
70
m
35
35
35
m
21
21
21
m
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← 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.
A mast 26 m long stands on a tower. From a point on level ground the angles of elevation of the bottom and the top of the mast are 30° and 45°. Find the height of the top of the mast above the ground. →
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Trigonometry › Heights and Distances
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