Trigonometry

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4
• 55.2
• 20.15
• 19.4

Find the length of side w.

• 21.4 cm
• 18.0 cm
• 36.5 cm
• 43.6 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Calculate the value of 'a' in the shape, correct to 2 decimal places.

• 7.25
• 3.38
• 8.82
• 3.73

Calculate the value of h, correct to 2 decimal places.

• 15.13 m
• 8.59 m
• 6.86 m
• 9.10 m

A sailing boat, which was supposed to be travelling north, veered off course and travelled N 45° E for a distance of 0.64 km, as shown. How far east had the sailing boat travelled? Give your answer to 2 decimal places.

• 0.45 km
• 1.28 km
• 0.64 km
• 1.09 km

Tags

CCSS.HSG.SRT.C.8

Pat and Steve are pitching their tent. The tent is 2.4 m high, and there is a 2.4-m-high tent pole that is to be tied with a piece of rope that will be used to keep the pole upright. If the length of the rope is 3.2 m, what angle does the rope make with the pole? Give your answer to 1 decimal place.

• 41.4°
• 50.7°
• 52.2°
• 37.7°

Calculate the value of the unknown angle to the nearest degree.

• 48°
• 53°
• 37°
• 18°

Tags

CCSS.HSG.SRT.C.8

Calculate the value of the unknown angle, correct to 1 decimal place.

• 32.1°
• 51.1°
• 38.9°
• 57.8°

If sinθ = 0.7342, the value of θ, correct to 2 decimal places, is:

• 47.24°
• 42.76°
• 47.23°
• 36.29°

An 8.6 m ladder rests against a wall. The ladder makes an angle of 32° with the wall. How far is the base of the ladder from the wall? Give your answer to 1 decimal place.

• 4.6 m
• 7.2 m
• 16.2 m
• 4.5 m