Precalculus Unit 6 Review

A 1250-yard-long sandy beach stretches in a straight line. An oil platform is located offshore in the ocean. From one end of the beach, the angle formed between the line of sight to the platform and the beach is 83°, and from the other end, the angle is 77°. Determine how far the oil platform is from each end of the beach.

• 3627.5, 3561.1

• 2500.0, 2400.0

• 1800.5, 1750.3

• 4000.0, 3900.0

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use law of Sines to find angle C.

Round your answer to the nearest tenth

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Two boats start at the same point and speed away along courses that form a 110° angle. If one boat travels at 22 mph and the other boat travels at 36 mph, how far apart are the boats after 30 min?

• 25 mi

• 22 mi

• 23 mi

• 26 mi

• 24 mi

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A triangular parking lot has sides measuring 90 meters, 54 meters, and 128 meters. Use Heron's Formula to find the area of the parking lot.

• 1,805.2 m²

• 1,992.7 m²

• 2,025.8 m²

• 2,308.6 m²

Tags

CCSS.6.G.A.1

Find the area of the triangle below.

• 73.1 km²

• 78.9 km²

• 82.4 km²

• 85.2 km²

Tags

CCSS.HSG.SRT.D.9

A park is in the shape of a triangle with sides of length 100m and 150m. The included angle between these sides is 60°. What is the area of the park?

• 7500

• 5000

• 6495.2

• 8660

Tags

CCSS.HSG.SRT.D.9

Simplify sin²(θ) + cos²(θ) using trigonometric identities.

(a)  

• tan(5x)

• tan(-x)

• -tan(x)

• -tan(5x)

Tags

CCSS.HSF.TF.C.9

• sin θ

• sec θ

• csc θ

• sin θ

12. Simplify sin3y · cos(-5y) - cos3y · sin(-5y)

• cos 8y

• sin 8y

• cos(-2y)

• sin(-2y)

Tags

CCSS.HSF.TF.C.9