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1.
A ship of height
h
= 21 m is sighted from a lighthouse. From the top of the lighthouse, the angle of depression to the top of the mast and the base of the ship equal 30
o
and 45
o
respectively. How far is the ship from the lighthouse (in meters)?
2.
A pole of height
h
= 20 ft has a shadow of length
l
= 11.55 ft at a particular instant of time. Find the angle of elevation (in degrees) of the sun at this point of time.
3.
Two men on opposite sides of a TV tower of height 24 m notice the angle of elevation of the top of this tower to be 45
o
and 60
o
respectively. Find the distance (in meters) between the two men.
4.
You are stationed at a radar base and you observe an unidentified plane at an altitude
h
= 1000 m flying towards your radar base at an angle of elevation = 30
o
. After exactly one minute, your radar sweep reveals that the plane is now at an angle of elevation = 60
o
maintaining the same altitude. What is the speed (in m/s) of the plane?
5.
Two men on the same side of a tall building notice the angle of elevation to the top of the building to be 30
o
and 60
o
respectively. If the height of the building is known to be
h
=110 m, find the distance (in meters) between the two men.
6.
A man is walking along a straight road. He notices the top of a tower subtending an angle
A
= 60
o
with the ground at the point where he is standing. If the height of the tower is
h
= 35 m, then what is the distance (in meters) of the man from the tower?
7.
Two towers face each other separated by a distance
d
= 15 m. As seen from the top of the first tower, the angle of depression of the second tower's base is 60
o
and that of the top is 30
o
. What is the height (in meters) of the second tower?
5 more pages in Trigonometry
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Related Link(s)
Trigonometry Module 3 : Word Problems on Heights and Distances
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Trigonometry
Trigonometry Module 3 : Word Problems on Heights and Distances
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Trigonometry