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: Two ships left a port at the same time. One ship traveled at a speed of 16 miles per hour at a…

A: Given ,  Two ships left a port at the same time. One ship traveled at a speed of 16 miles per hour…

Q: Find side a if side b = 10.6 , side c = 15.7 and angle A = 58.7°

A:

Q: An airplane is heading N35°E at a speed of 460 mph.  A 75 mph wind blows from the southwest at an…

A:

Q: 5. Two hikers left a cabin at the same time. One hiker travelled on a course of 248 at 6 km/h. The…

A: Solving the given problem by graphical method, Given, time= 4 hours v1= 6kmph v2= 4kmph Therefore,…

Q: Diego and jonathan are on a hiking expedition. Jonathan is a certain distance ahead of Diego when…

A: To find the distance between jonathan and diego

Q: A man mowing his four-sided yard is unable to remember all of its dimensions. He remembers that one…

A: A man mowing his four-sided yard is unable to remember all of its dimensions.   He remembers that…

Q: Solve for mZTUW. 134% 96° T.

A:

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: The figure below shows the way in which NASA uses aircraft to map ground by means of radar. AB =…

A: We have to find AC

Q: Two airplanes leave an airport at the same time. One airplane travels at 355 km/h in a direction…

A:

Q: A ship leaves port travelling North West at 12 knots. A second ship leaves the same port 3 hours…

A: Given: Let first ship be Ship A and second ship be Ship B. Speed of ship A = 12 knots =12 nautical…

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: An airplane has an air speed of 227 miles per hour and a compass heading of 140°. A steady wind of…

A: Given:  V = air plane speed vector with magnitude 227 miles per hour and  heading of 140o  . W= wind…

Q: A drone operator has his drone take off and then start flying due north. The drone flies 45.3 meters…

A: Step 1: Step 2: Step 3: Step 4:

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

A:

Q: (c) (i) Use the Sine Rule to find the angle at C. Give your answer correct to the nearest degree.…

A:

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.