Trigonometric Identities and Application

Which of the following is the right reciprocal trigonometric identity?

Which of the following is the right Pythagorean identity?

Tags

CCSS.HSF.TF.C.8

From an airplane at a height of 1200m, the angle of depression to a rock on the ground measures 28°. Find the distance from the plane to the rock.

• 2555.05m

• 2555.07m

• 2556.05m

• 2556.07m

Tags

CCSS.HSG.SRT.C.8

A man flies a kite with a 100-foot string. The angle of elevation of the string is 52°. How high off the ground is the kite?

• 78.8ft

• 79.81ft

• 79.82ft

• 78.83ft

Tags

CCSS.HSG.SRT.C.8

An airplane takes off 200 yards in front of a 60ft building. At what angle of elevation must the plane take off in order to avoid crashing into the building?

• 17°

• 16.7°

• 16.3°

• 15.9°

Tags

CCSS.HSG.SRT.C.8

A ramp is needed to allow vehicles to climb a 2-foot wall. The angle of elevation in order for the vehicles to safely go up must be 30° or less, and the longest ramp available is 5 feet long. Can this ramp be used safely? (Compute first then check if the angle is less than 30°)

• Yes, because the angle of elevation is less than 30°

• No, because the angle of elevation is more than 30°

• Yes, but the angle of elevation is equal to 30°

• No, but the angle of elevation is equal to 30°

Tags

CCSS.HSG.SRT.C.8

If the angle of elevation is upward, then what is the angle of depression?

(a)