Advanced Algebra with Trigonometry
Ch 5: “Trigonometric Functions”
NAME ____________________
DATE __________ PER _____
“Applications Involving Right Triangles”
Angle of Elevation: an angle measured above the line of sight
Angle of Depression: an angle measured below the line of sight
1. From a point 115 feet from the base of a redwood tree, the angle of elevation to
the top of the tree is 64.3 . Find the height of the tree to the nearest foot.
2.
From a 60 foot observation tower on the coast, a Coast Guard officer sights a
boat in difficulty. The angle of depression of the boat is 3 . How far is the boat
from the shoreline?
3.
An observer notes that the angle of elevation from point A to the top of a space
shuttle is 27.2 . From a point 17.5 meters further from the space shuttle, the angle
of elevation is 23.9 . Find the height of the space shuttle.
4. A 30-meter line is used to secure a helium-filled balloon to the ground. Because of
a breeze, the line makes and angle of approximately 75o with the ground. What is
the height of the balloon? Round your answer to three decimal places.
5. A surveyor is standing 50 feet from the base of a large tree, as shown in the figure.
The surveyor measures the angle of elevation to the top of the tree as 71.5°. How
tall is the tree? Round your answer to three decimal places.
.
Use a calculator to approximate the measure of A to the nearest tenth of a degree.
6.
7.
8.
9. Find the value of x. Round your answer to the nearest degree.
10. A child 90 cm high casts a shadow that is 180 cm long. Find the angle of
elevation to the sun, to the nearest degree.