Trig Applications

Trigonometry Applications

Geometry

Directions

You will be working with a partner to complete this activity. (You will be sharing one chromebook)

1. Complete the warm up together.

2. Partner "A" will be the ODD numbered desk and partner "B" will be the EVEN numbered desk. For Question 1, Partner "A" will explain how to solve the problem to Partner "B". For question 2, partner "B" will explain how to solve the problem to partner "A". Rotate for each question.

Multiple Choice

Warm Up!

What is the acronym to help you remember the trig functions?

• SOH-CAH-TOA

• SO-CA-TO

• SOA-COA-TOH

• I-LOVE-MATH

Multiple Choice

Warm up!

Choose the correct trigonometric ratio

(Remember SOH-CAH-TOA)

• $$Sin\ =\ \frac{opp}{hyp}$$

• $$Cos\ =\ \frac{Adj}{Opp}$$

• $$Tan=\frac{opp}{hyp}$$

• $$Cos\ =\ \frac{hyp}{opp}$$

Multiple Choice

Question 1: Find the indicated trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth: Sin M

• Sin M = 15/8 = 1.88

• Sin M = 8/17 = 0.47

• Sin M = 8/ 17 = 0.47

Multiple Choice

Question 2: Find the indicated trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth: Tan L

• Tan L = 15/8 = 1.88

• Tan L = 8/17 = 0.47

• Tan L = 17/8 = 2.13

Multiple Choice

Question 3: Find the indicated trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth: Cos L

• Cos L = 15/8 = 1.88

• Cos L = 8/17 = 0.47

• Cos L = 8/15 = 0.53

Multiple Choice

Question 4: Find the value of each ratio to the nearest hundredth

$$\sin\left(14^o\right)$$

• 0.36

• -1.3

• 0.24

• 0.62

Multiple Choice

Question 5: Find the value of each ratio to the nearest hundredth

$$\cos\left(51^o\right)$$

• 0.34

• -1.6

• 0.34

• 0.63

Multiple Choice

Question 6: Find the value of each angle to the nearest degree

$$\tan A\ =\ 2.0035$$

• $$63^o$$

• $$35^o$$

• $$27^o$$

• $$51^o$$

Multiple Choice

Question 7: Find the value of each angle to the nearest degree

$$\cos B=0.7980$$

• $$67^o$$

• $$45^o$$

• $$37^o$$

• $$51^o$$ c

Multiple Choice

Question 8: Find the value of the variable.  Round the length of the segment to the nearest tenth.

• 2.1

• 1.9

• 3.2

• 1.6

Multiple Choice

Question 9: Find the value of the variable.  Round to the nearest whole degree

• $$31^o$$

• $$46^o$$

• $$67^o$$

• $$45^o$$

Multiple Choice

Question 10: Find the value of z.  Round to the nearest tenth

• 10.7

• 9.7

• 7.5

• 5.3

Multiple Choice

Question 11: The world’s longest escalator is in the subway system of St. Petersburg, Russia. 

The escalator has a vertical rise of 195.5 ft. and rises at an angle of 10.4°.  How long is the escalator? (DRAW AND LABEL PICTURE)

• 1082.99 ft

• 1006.78 ft

• 998.2 ft

Multiple Choice

Question 12: A 14-foot ladder makes a 62° angle with the ground. How far up the house does the ladder reach? (DRAW AND LABEL PICTURE)

• 9.31 ft

• 10.64 ft

• 12.36 ft

Multiple Choice

 Question 13: A jump ramp for waterskiing makes an angle of 15° with the surface of the water. The ramp rises 1.58 m above the surface. What is the length of the ramp? (DRAW AND LABEL A PICTURE)

• 10 m

• 6.10 m

• 7.05 m