B. Two planes are flying at the same altitude. One airplane is 60 miles due north of the control tower. Another airplane is located 70 miles from the tower at a heading of 80° east of south. To the nearest tenth of a mile, how far apart are the two airplanes?

Q: A boat leaves the harbor on a heading of N55°E. Just 75 miles north of the pier is Isla Pichones.…

A:

Q: Grant is flying a kite on the end of a string that is 350 feet long. The angle of elevation from…

A: Use sin theta.

Q: As the captain looks back toward the harbor, he can see that two lights that are 22miles apart. He…

A: To determine the distance of the two lights form the two lights, let the captain be at a point F…

Q: Jayden is on his boat riding through the Cooper River. He spots the Cooper River Bridge at an angle…

A:

Q: Two cars leave the same town at the same time. One heads east at 30mi/h, and the other car in a…

A: We use cosine law to find out distance between both cars after 1 hour

Q: There is a wind of 35 mi/h from 320°. Find the airspeed in order that the groundspeed and course be…

A: The velocity of the wind is given by the vector, vw=35 cos(320°)i +35 sin(320°)j mi/h. The…

Q: A sail boat leaves a port and travels 10 miles at which point it turns 20° and travels another 8…

A:

Q: sec(-60°) 2 -2 √3/2

A:

Q: A ship leaves port and travels 25 miles in the direction N 61° E. Another ship leaves the same port…

A:

Q: A pilot sets out from an airport and heads in the direction N 20° E, flying at 200 mph. After one…

A:

Q: b. In the afternoon, Kirk returns and observes the geyser's spray reach a height of 123 feet when…

A:

Q: A boat leaves Oakville and heads due east for 5km as shown in the diagram at the left. At the same…

A: To find the distance between the two boats when they reach their destination

Q: A 25 m 25 B.

A: a= 22.66 m c= 10.56 m

Q: A jet leaves a runway with bearing N 35 degrees E from the control tower and flies 5 miles. Another…

A: To find the distance between two planes

Q: Cam and Cory are floating down a river in individual rafts when they both fall asleep. The river…

A: The sine and cosine rule is used to calculate the parameter of triangle. Sine rule is used when two…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.