Trig Applications

Warm Up!

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

Warm up!

Choose the correct trigonometric ratio

(Remember SOH-CAH-TOA)

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

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

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

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

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

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

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

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

$$\tan A\ =\ 2.0035$$

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

$$\cos B=0.7980$$

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

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

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

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)

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)

 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)