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PC 4.2d Practice CW 12/13/21

Total questions: 15

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
2.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
3.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?
4.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
5.

Using the illustrations above, determine the horizontal line.

a)

x

b)

AC

c)

AB

d)

BC

6.

Given the illustrations above, determine the angle of elevation

a)

JK

b)

JL

c)

KL

d)

S

7.

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of 74𝑜 with the level ground. How high on the wall does the ladder reach?


Which of the following is the correct diagram for the problem?

a)
b)
c)
d)
8.

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of 74o74^o   with the level ground. How high on the wall does the ladder reach? 


Which of the ratio is the appropriate for the problem?

a)

 tanθ=oppositeadjacent\tan\theta=\frac{opposite}{adjacent} 

b)

sinθ=oppositehypotenuse\sin\theta=\frac{opposite}{hypotenuse}

c)

cosθ=adjacenthypotenuse\cos\theta=\frac{adjacent}{hypotenuse}

9.

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of 74o74^o   with the level ground. How high on the wall does the ladder reach? 

a)

20.15 ft

b)

22.67 feet

c)

25.63 feet

d)

15.36 feet

10.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

11.
A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is closest to the height of the lighthouse? 
a)
25 feet
b)
45 feet 
c)
110 feet 
d)
135 feet 
12.
A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.  
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees 
13.
A new pipeline is being created to shorten the distance it has to travel to get from point A to point B. The original pipeline ran at a 90 angle from point A to point B and was 20 miles on one side and 15 miles on the other. The new pipeline will go straight from A to B. How much shorter will the new pipeline be?
a)
10
b)
25
c)
175
d)
625
14.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
15.
a)

A

b)

B

c)

C

d)

D