Solve the following problems completely. Sketch the figure A tree broken down by strong winds makes a right triangle with the ground. Its topmost part makes an angle of 55º with the ground at point 25 ft from its foot. How high was the tree before it was hit by the wind?

Q: Mr C is tired. He is leaning against a wall. His feet are 1.88 feet away from the base of the wall.…

A: let height of mr .c is BC

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: Sec. 2.4 Mrs. LaPorte wants to build a wheelchair ramp for the step up to her nephew's front door.…

A: Let x be the length of the base of the ramp in inches. According to the question, If θ is the angle…

Q: A plane flies 800 miles from Franklin to Centerville with a bearing of 75°. Then it flies 629 miles…

A:

Q: Two airplanes leave an airport at the same time on different runways. The first plane, flying on a…

A:

Q: Kelsey boards one of the outer horses of a carousel that has a 32 ft diameter. She represents her…

A: We have to (a) Find the coordinates​ (x,y) of​ Kelsey's horse when the ride stopped. (b) How far…

Q: If the distance e from a point directly below the plane in the picture to a radar station is 125…

A: Solution: The objective is to find the distance from the plane to the ground

Q: Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 44°, and…

A:

Q: Sargent Johnson wants to find the height of the school flag above the football field. His eye height…

A: we have to find out the height of the flag

Q: the height from the ground to the low part of the roof is 4 feet. What is the height from the ground…

A: Given that the width is 5 feet. Therefore, c=5 And, the measure of angle A is 23∘. Sum of all…

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

A:

Q: below is a diagram that shows how Colleen estimates the height of a tree that is on the other side…

A: In this question, the concept of trigonometric identities is applied. Trigonometric Identity The…

Q: You are standing on a boat that is 150 feet from a cliff. If you look up at a 35 degree angle you…

A: Solution: The objective is to find the height of the cliff

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.