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Review for Test #2 adv int 2

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
2.
Find each angle measure to the nearest degree.
a)
22
b)
21
c)
20
d)
19
3.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
4.
Find AB
a)
10
b)
8
c)
6.1
d)
4.9
5.
Find m<B
a)
A
b)
B
c)
C
d)
D
6.
Calculate the length of AC
a)
30
b)
24
c)
27
d)
35
7.
Calculate the length of BC
a)
24
b)
20
c)
27
d)
23
8.

Considering the lengths of the sides of the triangle, what measure will < A have to be?

a)

30

b)

45

c)

60

d)

90

9.

Find the value of x.

a)

9

b)

2√3

c)

1

d)

3

10.

What is the shortest distance between 3rd and 1st?

a)

60

b)

60√2

c)

30√2

d)

120

11.

An equilateral triangle has a height of 15. What is the exact length of the one side of the equilateral triangle?

a)

5√3

b)

10√3

c)

30√3

d)

10

12.

If the length of the hypotenuse in this triangle is 16, find the length of one leg.

a)

8

b)

828\sqrt{2}

c)

32

d)

16216\sqrt{2}

13.

Find the lengths of the missing sides.

a)

x=183,y=363x=18\sqrt{3},y=36\sqrt{3}

b)

x=18,y=123x=18,y=12\sqrt{3}

c)

x=6,y=12x=6,y=12

d)

x=123,y=243x=12\sqrt{3},y=24\sqrt{3}

14.

A GPS satellite measures the distances to two buildings to be 370 km and 350 km, and the angle between them to be 2.1o (see diagram). How far apart are the two buildings?

a)

17.90 km

b)

30.32 km

c)

15.61 km

d)

23.96 km

15.
Jack is flying his kite.  He runs 100 feet away from his house and lets out 75 feet of string.  The angle of elevation from the ground to the kite is 65 degrees.  How far away is the kite from the house?
a)
9285.73 ft
b)
96.36 ft
c)
24061.81 ft
d)
155.12 ft
16.
Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?
a)
25.23
b)
23.19
c)
22.15
d)
20.85
17.
When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?
a)
1.2 m
b)
28.9 m
c)
6.1 m
d)
28.2 m
18.

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles.  What is the diagonal distance it has traveled from take off to its current position?

a)
15 miles
b)
38 miles
c)
17 miles
d)
20 miles
19.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3o. How tall is the enemy castle wall?

a)

78.6 meters

b)

1498.0 meters

c)

78.5 meters

d)

75.3 meters

20.

What is the saying we use to remember the trig functions?

a)

SOH CAH TOA

b)

SAH COH TAO

c)

COH SAH TOA

d)

SOH COH TOH