Unit 7 Review

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32.1

A 35 foot wire is secured from the top of a flagpole to a stake in the ground. If the stake is 14 feet from the base of the flagpole, how tall is the flagpole?

60.1

A fire hydrant sits 72 feet from the base of a 125 foot tall building. Find the angle of elevation from the fire hydrant to the top of the building.

78.8

A fireman leaned a 36 foot ladder against a building. If he placed the ladder 7 feet from the base of the building, what angle is formed between the ladder and the ground?

Acute

Determine whether the triangle is acute, right, obtuse, or not a triangle. 15, 16, 21

Obtuse

Determine whether the triangle is acute, right, obtuse, or not a triangle. 20, 23, 41

Obtuse

Determine whether the triangle is acute, right, obtuse, or not a triangle. 3, 16, 17

Obtuse

Determine whether the triangle is acute, right, obtuse, or not a triangle. 3.1 m, 5.9 m, 7.2 m

Not a triangle

Determine whether the triangle is acute, right, obtuse, or not a triangle. 6, 13, 20

Acute

Determine whether the triangle is acute, right, obtuse, or not a triangle. 8 ft, 14 ft, 16 ft

Right

Determine whether the triangle is acute, right, obtuse, or not a triangle. 9 in, 12 in, 15 in

12.2

Find the value of x

15.1

Find the value of x

16.5

Find the value of x

20.8

Find the value of x

21.7

Find the value of x

25.5

Find the value of x

29.7

Find the value of x

35.9

Find the value of x

42.3

Find the value of x

5.7

Find the value of x

53.1

Find the value of x

53.7

Find the value of x

58.9

Find the value of x

6

Find the value of x

61.9

Find the value of x

62.2

Find the value of x

64.2

Find the value of x

11.5

Find the value of y

5.2

Find the value of y

33.8

A spectator in the stands spots the team mascot on the field at an angle of depression of 46°. If the spectator is sitting 35 feet above the ground, what is the horizontal distance between the spectator and the mascot.

44.8

A wire is attached from the top of a 30 foot telephone pole to a stake in the ground. If the angle formed by the wire and the pole is 48°, what is the length of the wire?

12/13

Give the trig ratio as a fraction in simplest form. Cos R =

5/13

Give the trig ratio as a fraction in simplest form. Cos T =

5/13

Give the trig ratio as a fraction in simplest form. Sin R =

12/13

Give the trig ratio as a fraction in simplest form. Sin T =

5/12

Give the trig ratio as a fraction in simplest form. Tan R =

12/5

Give the trig ratio as a fraction in simplest form. Tan T =

14.3

Jada is standing 10 feet from the base of a tree and spots a nest sitting on a branch. The angle of elevation from the ground to where she is standing to the nest is 55°. Find the height of the nest.

31.8

Solve for x

40.7

The angle of elevation from Nathan to a lighthouse is 70°. If the lighthouse is 112 feet tall, how far is Nathan from the base of the lighthouse?

18.8

The marching band director is standing on a platform overlooking the band practice. The pit section is located 8 feet from the base of the platform. If the angle of depression from the band director to the pit section is 67°, find the height of the platform.

4.8

What is the value of x?

9

What is the value of x?


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