Pre-Calculus
REVIEW: Angle of Elevation & Depression
1. Brian's kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite
measures 70 °, how high is the kite above Brian's head?
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2. From an airplane at an altitude of 1200 m, the angle of depression to a rock on the ground
measures 28°. Find the distance from the plane to the rock
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3. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the
pole measures 53 ° . How tall is the flagpole?
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4. From a plane flying due east at 265 m above sea level, the angles of depression of two ships sailing
due east measure 35 ° and 25 °. How far apart are the ships?
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5. Tom and Sam are on the opposite sides of a tower of 160 meters height. They measure the angle of
elevation of the top of the tower as 40 ° and 55° respectively. Find the distance between Tom and
Sam.
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tan40° =­
z
160
z=-­
tan 40°
z = 190.7m
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tan55 °
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160
y
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y = 112.0m
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6. A man on the deck of a ship is 13 ft above water level. He observes that the angle of elevation of
the top of a cliff is 40 ° and the angle of depression of the base is20 ° . Find the distance of the cliff
from the ship and the height of the cliff if the base of the cliff is at sea level.
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7. The angle of elevation of the top of a cliff from the point Q on the ground is 30 ° . On moving a
distance of 20 m towards the foot of the cliff the angle of elevation increases to x0 If the height of
the cliff is 17.3 m, then find x0 •
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8. From the top of a spire of height 50 ft, the angles of depression of two cars on a straight road at the
same level as that of the base of the spire and on the same side of it are 25 ° and 40 °. Calculate the
the distance between the two cars.
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