A grain auger lifts grain from the ground to the top of a silo. The greatest angle of elevation that is possible for the auger is 35 o. The auger is 18m long. What is the maximum height that the auger can reach? 18 m h 35 o 18 m h First, draw a diagram. From the angle, we are dealing with the opposite side (h) and the hypotenuse (18 m). We can use sine to find h

35 o 18 m h Therefore, the maximum height that the auger can reach is about 10 meters.

Determine the length of p. 15 o 55 mm p We are dealing with the adjacent side (55 mm) and the hypotenuse (p) so we can use cosine.

Noah is flying a kite and has released 25m of string. His sister is standing 8m way, directly below the kite. What is the angle of elevation of the string? Noah Sister 8 m (adjacent) opposite Hypotenuse 25 m We know adjacent and hypotenuse so we can use cosine:

Trigonometric ratios can be used to calculate unknown side lengths and unknown angle measures in a right triangle The ratio you use depends on the information given and the quantity you need to calculate