4.3 Worksheet (Angles of Elevation & Depression) Name__________________________________
Pre-Calculus CP Date___________________Period__________
Draw a picture, write a trig ratio equation, rewrite the equation so that
...
4.3 Worksheet (Angles of Elevation & Depression) Name__________________________________
Pre-Calculus CP Date___________________Period__________
Draw a picture, write a trig ratio equation, rewrite the equation so that it is calculator ready and then
solve each problem. Round measures of segments to the nearest tenth and measures of angles to the
nearest degree.
________1. A 20-foot ladder leans against a
wall so that the base of the ladder is 8 feet from
the base of the building. What is the ladder’s
angle of elevation?
________2. A 50-meter vertical tower is
braced with a cable secured at the top of the
tower and tied 30 meters from the base. What
is the angle of depression from the top of the
tower to the point on the ground where the
cable is tied?
________3. At a point on the ground 50 feet
from the foot of a tree, the angle of elevation to
the top of the tree is 53. Find the height of the
tree.
________4. From the top of a lighthouse 210
feet high, the angle of depression of a boat is
27. Find the distance from the boat to the foot
of the lighthouse. The lighthouse was built at
sea level.
________5. Richard is flying a kite. The kite
string has an angle of elevation of 57. If
Richard is standing 100 feet from the point on
the ground directly below the kite, find the
length of the kite string.
________6. An airplane rises vertically 1000
feet over a horizontal distance of 5280 feet.
What is the angle of elevation of the airplane’s
path?
________7. A person at one end of a 230-foot
bridge spots the river’s edge directly below the
opposite end of the bridge and finds the angle
of depression to be 57. How far below the
bridge is the river?
________8. The angle of elevation from a car
to a tower is 32. The tower is 150 ft. tall.
How far is the car from the tower?
230
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