Section 3.5 Homework Finding Angles Worksheet With Answers - 2014 Page 2
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1
2Homework Assignment
Solutions
Section 3.5
2
3.5.9. The function f (x) is a linear function. It has an x-
3.5.13. The area of the outermost triangle shown below is 5 in
.
intercept of ( 3, 0) and it intersects the x-axis at an
Find the perimeter of the large triangle and round your
angle of 60 . Find the y-intercept of f and leave your
answer to two decimal places. Remember: The perime-
answer in exact form.
ter of a shape is the distance around the outside of it.
Answer: (0, 3 3)
3.5.10. The function f is linear, f (1) =
4, and f intersects
the x-axis at an angle of 150 (measured counterclock-
wise from the x-axis, as usual). Find a formula for f
30
and leave your answer in exact form.
3
3
Answer: f (x) =
x
4 +
5 in
3
3
3.5.11. The top of a 200 ft vertical tower is to be anchored
by cables that make an angle of 60 with the ground.
Answer: 11.52 in
Round your answers to two decimal places.
3.5.14. A ramp is to be built that has a 12 angle of incline
(a) How long must the cables be?
which climbs a total of 4 ft. How long does the base
Answer: 230.94 ft
of the ramp need to be? Round your answer to two
decimal places.
(b) How far from the base of the tower should anchors
be placed?
Answer: 18.82 ft
Answer: 115.47 ft
3.5.15. An airplane takes off at an angle of 8 from a run-
3.5.12. The front door to the student union is 20 ft above the
way. If there are 2000 ft of runway remaining when the
ground and it is reached by a flight of steps. The school
airplane lifts off, find the airplane’s height above the
wants to build a wheelchair ramp with an incline of 15
ground when it passes the end of the runway. Round
from the ground to the door. How much horizontal dis-
to two decimal places.
tance is needed for the ramp? Round to two decimal
Answer: 281.08 ft
places.
Answer: 74.64 ft
Last Updated: March 29, 2014
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