A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their tools, the surveyor estimates that they are 114 feet from the base of the tree and 147 feet from the top of the tree. If the angle between these two distances is 38 degrees, then approximately how tall is the tree to the nearest hundredth of a foot?

Q: Julia lies down on the grass in a park and begins reading a book. She is 30 meters away from the…

A: let AB be the TreeThen tan 35°=ABBCtan 35°=AB30

Q: The Cats R Us building is 60 feet high. Mrs.Hart is standing some distance away from the tower…

A: Here this problem is part of height and distance so we will find this by that method.

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

A:

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: When she was younger, Mary had to look up at a 46° angle to see into her father's eyes whenever she…

A:

Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: A carpenter constructs a table with four legs that each forms an acute angle with the tabletop. Each…

A: Solve by using pythogorous theorem.

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: A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees.…

A: Given data is : Angle θ=30∘ Bridge clearance is 16.5 feet. To find the horizontal distance from the…

Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a…

A: Angle of elevation

Q: picture to

A:

Q: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

A:

Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

A:

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

A:

Q: Virginia is flying a Cessna and is descending at a 9° angle towards a runway. If she can see a…

A: Step 1:Step 2:Step 3:…

Q: You are standing on top of a cliff 500 ft. above the ocean looking out at the water.  You see a…

A: tanθ=oppositeadjacentIn this question, opposite is the height and adjacent is the base

Q: A plane is 130 kilometers north and 95 kilometers east of an airport. If the pilot wants to fly…

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.