Download Angles of elevation/depression #1-6

NAME: ___________________________________ PERIOD: ___________ DATE: _____________________________
GEOMETRY: Angles of Elevation and Depression (Version 2)
Follow the following steps to solve each of the below problems:
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Draw a picture
Write a trig ratio equation
Solve the equation for the variable
Use the calculator to evaluate the variable to 2 decimal places.
Problems:
1. A ladder with its foot on a horizontal flat surface rests against a wall. It makes an angle of 30 degrees with the
horizontal ground. The foot of the ladder is 41 feet from the base of the wall. Find the height of the point
where the ladder touches the wall.
2. 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.
3. The angle of elevation of the top of a tree is 30 degrees from a point 28 feet from the foot of the tree on the
ground. Find the height of the tree rounded to the nearest foot.
4. An airplane takes off from the runway at Newark Liberty International Airport at an angle of 35 degrees. If the
airplane has traveled a horizontal distance of 20,000 feet, how high off the ground is the airplane?
5. The angle of elevation from a car to a tower is 32°. The tower is 150 feet tall. How far is the car from the
tower?
6. A man on the deck of a ship is 15 feet above sea level. He observes that the angle of elevation of the top of a cliff
is 70 degrees and the angle of depression of its base at seas level is 50 degrees. Find the height of the cliff and
its distance from the ship.
7. Challenge Problem: A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30
meters from the base on the ground. What is the angle of depression from the top of the tower to the point on
the ground where the cable is tied? (Hint: You must use the inverse of a trigonometric function in order to
solve this.)