Master Solving word problems using the law of sines

The video tutorial demonstrates how to use the law of sines to solve trigonometric word problems. It begins with an introduction to the law of sines and the importance of setting up triangles. The first example involves calculating the height of the Leaning Tower of Pisa using given angles and distances. The second example calculates the distance from a ship to a lighthouse using angles measured from the shore. The tutorial emphasizes the importance of correctly labeling triangle components and using the law of sines formula to find missing lengths or angles.

What is the first step when using the law of sines to solve a word problem?

• Find the longest side

• Create a triangle from the given information

• Calculate all angles first

• Use the Pythagorean theorem

In the Leaning Tower of Pisa problem, what is the angle of elevation to the top of the tower?

• 84.7 degrees

• 90 degrees

• 50 degrees

• 45.3 degrees

How do you calculate angle B in the Leaning Tower of Pisa problem?

• By subtracting angles A and C from 180 degrees

• By adding angles A and C

• By using the sine rule directly

• By measuring it directly

What is the calculated height of the Leaning Tower of Pisa when it is upright?

• 200 feet

• 171 feet

• 184 feet

• 150 feet

In the lighthouse problem, what is the distance between the two lighthouses?

• 32 miles

• 52 miles

• 96 miles

• 20 miles

What angle does the ship measure between the two lighthouses?

• 32 degrees

• 52 degrees

• 84 degrees

• 96 degrees

What is the final calculated distance from the ship to Lighthouse B?

• 52 miles

• 38 miles

• 96 miles

• 20 miles