A woman standing on a hill sees a flagpole that she knows is 55 ft tall. The angle of depression to the bottom of the pole is 14°, and the angle of elevation to the top of the pole is 18°. Find her distance x from the pole. (Round your answer to one decimal place.)

Q: A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 12.5º. If…

A: Here, A is the position of ship's sonar and C is the position of wreck. We need to calculate the…

Q: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Solution: The objective is to determine how far from the base of the tree am I.

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We will use trigonometric ratios to find the answer

Q: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

A:

Q: The angle of depression from the top of a tower to a boulder on the ground is 60°. If the tower is…

A:

Q: At a point 50 feet from the base of a church, the angles of elevation to the bottom of the steeple…

A: Given,          At a point 50 feet from the base of a church , the angles of elevation to the…

Q: Assuming that a 340-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: Assuming that a 370-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Draw a schematic diagram of a give question. Given data, Height of tree, AB = 370 ft C is the point…

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: answer is in next step

Q: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

A:

Q: The 150-foot-long string of a kite you are flying is being pulled taut by the wind and makes an…

A:

Q: A kite is flying at an angle of elevation of 67° with the ground. If 100 ft of string have been paid…

A: Since, it is given that a kite is flying at an angle of elevation of 67° withthe ground.∠B=67°Since,…

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

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Q: From the top of a 190-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Given that height of lighthouse is 190 ft. And depression angle is 21°. And we find that how far is…

Q: An eagle spotted a mouse 20 feet below at an angle of 42 degrees with the horizon. If the eagle…

A: From the given problem, The mouse is 20 feet below the horizon, sp EM = 20 feet The angle of…

Q: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: A forester, 175 feet from the base of a redwood tree, observes that the angle between the ground and…

A: Let AB be the height of the tree and C be the position of the Forester as shown below.

Q: Find x, the angle of depression from the top of a lighthouse that is 188 ft above water level to the…

A:

Q: A​ blimp, suspended in the air at a height of 600 ​feet, lies directly over a line from a sports…

A: The distance between the sports stadium is

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

A:

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: Given : The angle of elevation to the top of the building is 69°. He then walks 240 feet farther…

Q: To find the height of a tree, a person walks to a point 30 feet from the base of the tree and…

A: Let height of tree be ABNow in triangle ABCtan 57 = PerpendicularBasetan 57 = ABACAB = 30 tan 57AB =…

Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: Since, a man standing near a building notices that the angle of elevation to the top of the building…

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: From the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far…

A: Given query is to find the distance of the ship from the light house.

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We have, Height of redwood, P=350 foot Angle of elevation,   According to the rule of trigonometry,…

Q: Mr. Pratt was building a house. A ladder that is 10 ft. long is leaning against the side of a…

A: Given,

Q: From the top of a 214-ft lighthouse, the angle of depression to a ship in the ocean is 29. How far…

A: From the top of a 214-ft light house, the angle of depression to a ship in the ocean is 29°. we have…

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: I am about 286.3505 feet away from the base of the tree.

Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 29°. How far…

A:

Q: Find the angle of depression from the top of a lighthouse 400 feet above water level to the water…

A:

Q: From the top of a 237-ft lighthouse, the angle of depression to a ship in the ocean is 25°. How far…

A:

Q: Assuming that a 340-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Suppose that the person height is negligible. Since it is a right angle triangle we can apply SOH ,…

Q: A 84-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

Q: From the top of a 200 foot lighthouse, the angle of depression to a ship in the ocean is 13°. How…

A: Answer and explanation is given below..

Q: From the top of a 169-ft lighthouse, the angle of depression to a ship in the ocean is 19°. How far…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: The peak of Mt. Fuji in Japan is approximately 12,400 feet high. A trigonometry student, several…

A: The height of the peak is 12,400 feet.

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Height of redwood = 380 ftAngle of elevation = 51°Let distance between me and the base of redwood =…

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 28°. How far…

A:

Q: At a point 40 feet from the base of a church, the angles of elevation to the bottom of the steeple…

A:

Q: The base of the ladder in the figure is a = 4 ft from the building, and the angle formed by the…

A:

Q: A 26-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

A:

Q: The builder of a parking garage wants to build a ramp at an angle of 12 that covers a horizontal…

A:

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Topic :- trigonometry and triangle

Q: From the top of a tower 60 ft highthe angle of depression to an object on the ground is 35 degrees.…

A:

Q: What is the angle of depression from the plane to the​ building?(Round to the nearest degree as​…

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.