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Word problems
Laws of Sine and Cosine
100

What ratio is equivilant to the Sin of Angle A?

  1. C/B

  2. A/C

  3. A/B

  4. C/A

Answer: 2 A/C

100

A parachute is floating down, and a rope 50 feet long connects it to the ground. The parachute is 38 feet directly above the ground.
What angle does the rope make with the ground?


A) 39.7°
B) 49.8°
C) 48.4°
D) 59.0°


49.8

100

 ladder is leaning against a wall. The ladder is 10 feet long and makes a 60° angle with the ground. How high up the wall does the ladder reach (to the nearest tenth of a foot)?

A) 5.0 ft

B) 8.7 ft

C) 6.2 ft

D) 10.0 ft

8.7ft

100

Which Ratio is Equivilant 

Sin 62/X

AND

SinB/ 12

OR

SinA/10cm AND Sin B/x

OR 

Sin62/X and SinB/10


Sin62/X and SinB/10

200

Sin of angle C is equal to (Ignore anything but the triangle)




  1. Cos of angle C

  2. Sin of angle A

  3. Cos of angle A

  4. Tan of angle A

Answer: 3, Cos of Angle A

200

You lean a ladder against a wall. The ladder touches the wall at a height of 12 feet, and the base of the ladder is 5 feet away from the wall on the ground.

What angle does the ladder make with the ground?

(Round to neareast tenth)

A. 38.7°
B. 56.2°
C. 67.4°
D. 72.5°


67.4 Degrees

200

A wheelchair ramp is 10 feet long and rises vertically 2 feet. What is the angle the ramp makes with the ground?

A. 11.5° 

B. 19.8°

C. 45°

D. 65.2°

11.5

200

(Round to nearest tenth if needed)

Given triangle XYZ:

  • Side x = 8 cm

  • Side y = 6 cm

  • Angle Z (between sides x and y) = 60°

Find the length of side z.


A. 6.4 cm
B. 7.2 cm
C. 8.0 cm
D. 9.6 cm

7.21 cm

300

What is the value of Y?

  1. 4m

  2. 3.7m

  3. 3.2m

  4. 6


Answer: 3.7 M

300

What is the ratio of the sin-1 of b (Assume C is the hyptonuse)

  1. b/c

  2. c/a

  3. a/b

  4. a/c


b/c

300

 A 25-foot tall tree casts a shadow that is 33 feet long. What is the angle of elevation from the end of the shadow to the top of the tree?

A. 36.9°

B. 37.5° 

C. 42°

D. 48.1°


37.5

300


Given triangle ABC:


Angle A = 40°


Angle B = 75°


Side a (opposite angle A) = 10 cm


Find the length of side b

(Round to nearest tenth if needed)

A. 11.5 cm
B. 13.1 cm
C. 15.0 cm
D. 17.4 cm

15 cm

400

A tree casts a shadow that is 18 meters long. The angle of elevation from the tip of the shadow to the top of the tree is 41°.
How tall is the tree?

Round to nearest tenth

A) 14.7 m
B) 15.6 m
C) 12.3 m
D) 13.8 m


15.6 m
400

A surfer rides down the front of a wave. If the vertical drop is 14 meters and the horizontal distance of the wave face is 20 meters, what angle is the slope of the wave?

A) 35.0°
B) 30.2°
C) 42.1°
D) 19.8°


35

400

 

A plane is descending at an angle of 6° with the ground. If it’s currently 5,000 feet above the ground, how far will it travel along the descent path before it lands?



A. 47,900 ft

B. 10,300 ft

C. 48,000 ft  

D. 5,300 ft


48,000 ft

400

Round to Nearest Tenth, what is the value of B?


18 Ft

 22ft

 14ft

 17.7

18FT

500

A 12-foot ladder leans against a vertical wall. The angle between the ladder and the ground is 65°.
How high up the wall does the ladder reach?

Round to nearest tenth

A) 10.9 ft
B) 8.2 ft
C) 5.1 ft
D) 11.3 ft


10.9ft

500

Whos dad isnt pictured out of our group members

 

 James Evangelista's father isn't pictured

500

William is standing at the top of a cliff that is 80 meters high. He spots a ship out at sea. The angle of depression from his eyes to the ship is 27°.
How far is the ship from the base of the cliff (horizontally)? (Round to nearest meter)


A) 40 m
B) 155 m
C) 157 m
D) 170 m

157

500

Brain Break: Who is this undersized young soccer star?

Ryan Santos