10.1 Homework Worksheet
Algebra IIB
Name: ____________
Date: ____________
Find the values of the six trigonometric functions for .
1.
2.
3.
Solve.
4.
A water slide is 26 feet high. The angle between the slide and the water is 33.5°. What is
the length of the slide?
5. A surveyor stands 150 feet from the base of a viaduct and measures the angle of elevation
to be 46.2°. His eye level is 6 feet above the ground. What is the height of the viaduct
to the nearest foot?
6. The pilot of a helicopter measures the angle of depression to a landing spot to be 18.8°. If
the pilot’s altitude is 1640 meters, what is the horizontal distance to the landing spot to the
nearest meter?
Find all missing parts in the triangle below.
7.
3
4
Kayla is fishing near the ferry landing near her home.
She wonders how far the ferries actually travel when
they cross the river. To find out, she puts a fishing pole
upright on the riverbank directly across from the ferry
landing. Then she walks down the bank 180 yards and
measures an angle of 75° between the lines to her fishing
pole and the ferry landing on the opposite bank.
8. Find the distance directly across the river.
a. On the diagram, name the side of the triangle
that represents the distance Kayla wants to determine.
_______________________
b. Write a trigonometric function that relates the known
distance and angle to the required distance.
_______________________
c. Find the distance to the nearest yard directly across
the river.
_______________________
9.Kayla walks another 200 yards down the riverbank. At this point the ferries seem to come
straight at her at an angle of 60° to the line to her fishing pole.
a. Draw the new picture
b. How far is she from her fishing pole now?
_______________________
c. Write the trigonometric function that relates this distance
and angle to the required distance, c.
_______________________
d. What is the distance that the ferries travel if they travel
along this line?
_______________________