Solve Problems Involving Trigonometric Functions and Bearing Directions

Find the bearing of A from B

• 250^o

• 110^o

• 290^o

• 070^o

Find the shaded angle ABC

• 105^o

• 125^o

• 235^o

• 135^o

Find the bearing of A from B

• 060^o

• 120^o

• 300^o

• 240^o

A ship leaves a port at a speed of 16 mph with a bearing of N 32° E .  One hour  later another ship leaves the port at a speed of 22 mph with a bearing of S 16°W   Find the distance between the ships 4 hours after the first ship leaves the port

• 37.6 miles

• 128.7 miles

• 78.3 miles

• 18.2 miles

A ship leaves port at 1:00 p.m. and sails in the direction N34^°W at a rate of 24 mi/hr. Another ship leaves port at 1:30 p.m. and sails in the direction N56^°E at a rate of 18 mi/hr.

What is the bearing, to the nearest degree, from the first ship to the second?

• S63^°E

• N27^°E

• S63^°W

• N27^°W

A boat is sailing due east parallel to the shoreline at a speed of 20 miles per hour. At a given time the bearing to a lighthouse is S 68° E and 30 minutes later the bearing in S 52° E. Find the distance from the boat to the lighthouse at boat position 2.

• 13.6 miles

• 7.4 miles

• 14.7 miles

• 27.2

A ship leaves port at 1:00 p.m. and sails in the direction N34°W at a rate of 24 mi/hr. Another ship leaves port at 1:30 p.m. and sails in the direction N56°E at a rate of 18 mi/hr. What is the bearing, to the nearest degree, from the first ship to the second?

• S63°E

• N27°E

• S63°W

• N27°W

Round your answer to the nearest tenth.

• 1747.5 ft.

• 1319.3 ft.

• 1428.2 ft.

• 2747.5 ft.

A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6

• 6.0

• 14.8

• 13.6