A jogger parks her car 80m directly across from a trail that is parallel to the parking lot. Given the acute angle B formed by the shortest distance to the trail and the path she took, find a) the distance she jogged to the trail and b) the amount of time it took her to reach the trail jogging at a constant rate of 3 m/sec. angle B = 10 degrees

Q: A pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

A:

Q: It is 58 road miles from Denver to the Eisenhower tunnel. Denver is 5882 ft above sea level. The…

A: The distance between Denver to the Eisenhower Tunnel is 58 milesDenver is 5882 ft above mean sea…

Q: This is using Cosine Law. Two pirate ships, A and B, lie 125m apart on the ocean's surface. There…

A:

Q: A camera has been set up to record a diver at a diving competition. What is important for those…

A: Given figure is

Q: A balloonist is directly above a straight road 1.7 miles long that joins two towns. She finds that…

A:

Q: A bird watcher is gazing at tree canopies in California’s redwood forests. The bird watcher spots…

A: The problem can be illustrated with a diagram as follows: From the ∆ABE, sinθ=hss=hsinθ   ⋯⋯(1)…

Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

A: It is given that,  A man lies 18 horizontal feet from the base of a wall. He must incline his eyes…

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

A:

Q: For the first minute of flight, a hot air balloon ascends vertically at a constant rate of 3 meters…

A: Blank #1: For the first minute, the balloon ascends vertically. The ascending rate = 3 m/s after…

Q: In Angle MNO, Line segment IJ is drawn parallel to Line segment MN and intersects line segment MO…

A: Find JO.

Q: A man is standing near a radio station antenna and observes that the angle of elevation to the top…

A: Redraw the diagram as shown below:

Q: An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the…

A: Given that An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50°…

Q: A Navy battleship is targeting an incoming fighter jet with an elevation of 10,000 feet. The…

A:

Q: A new home is being built. The roof is at a 35º angle as shown and the wooden runners that go from…

A: Let Height of the roof = h Let angle denoted by θ hypotenuse denoted by k Given θ = 35°k = 24 ft h =…

Q: There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A…

A: Given data: The distance between both stations is AB =50 m. The angle made by a swimmer with station…

Q: Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures…

A:

Q: You are a secret agent trapped at the top of a tall building. To escape, you decide to slide down a…

A: The objective of this question is to find the length of the zip line. We can use trigonometry to…

Q: A river is 2500 ft wide and flowing at 66 mph from north to south. A woman in a canoe starts on the…

A: Direction through which a woman starts her canoe can be calculated using the trigonometric ratios…

Q: Find two supplementary angles such that the measure of the first angle is 30° less than five times…

A: Two angles are known as supplementary if the addition of their measures is 180 degrees.

Q: player is

A:

Q: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

A: The objective of this question is to find the height at which the aircraft is flying. We can use the…

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.