A NEWS helicopter flying at a height of 300 ft is filming emergency vehicles that are rushing to the scene of a fire. From the helicopter, the angle of depressions to the emergency vehicles is 20° and to the fire is 40°.

Q: A balloon passes between two observers that are 2 miles apart. The angle of elevation are 27° and…

A: A balloon passes between two observers that are 2 miles apart. The angle of elevation are 27° and…

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: A flagpole is 3 meters tall. What is the angle of elevation of the sun when the horizontal shadow of…

A: Given

Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

A:

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: Two hikers are at opposite sides of a mountain, ready to begin their hike. The height of the…

A:

Q: A fisherman is 7 miles west and 3 miles north of the marina. To head directly back to the marina,…

A: using pythagorous theoremAM2=AB2+BM2

Q: A lifeguard is sitting on a platform. His eye level is 5 m above sea level. Martha and Sammy are…

A: Given query is to find the distance between Martha and Sammy.

Q: Jack and Jill were on the same side of a hill but were 34 m apart. Both were lying on the ground…

A: Let the height of the peak of the hill be h . Let the distance BL be x . Use the tangent ratio in…

Q: Jose is sitting in a tree, so that his eyes are 3.2 m above the ground. When he looks down at an…

A: Jose is sitting in a tree, so that his eyes are 3.2 m above the ground. When he looks down at an…

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…

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.