From a point on the ground, the angle of elevation to the top of a vertical wall is 40°. If the wall rises 8.6 meters above the ground, how far is the point on the ground from the bottom of the wall? Round your answer to the nearest tenth.

Q: from a hot air balloon 2 km high, a person look east sees one town with angle of depression of 12…

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Q: As shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65°…

A: A ladder 5 feet long leans against a wall and makes an angle 65° with the ground.we have to find…

Q: At a point 200 feet from the base of a building, the angle of elevation to the bottom of a…

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Q: From a window, 30 ft above the street, the angle of elevation to the top of the building is 50…

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64^{\circ}∘.…

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

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Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

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Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp 23 feet long, what…

A: detailed solution is given below

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 19 degrees…

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Q: If you stand 35 feet from the bottom of a movie screen and the screen is 75 feet tall, what is the…

A: If you stand 35 feet from the bottom of a movie screen. The screen is 75 feet tall its make a…

Q: An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 24°. How far…

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Q: From a point on the ground 13 feet from the base of a flagpole, the angle of elevation to the top of…

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Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

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Q: A person standing 364 feet from the base of a church observed the angle of elevation to the church's…

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 65∘∘. How tall…

A: given: The angle of elevation to a nearby tree from a point on the ground is measured to be . we…

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

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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: If you stand 50 feet from the bottom of a movie screen and the screen is 80 feet tall, what is the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

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Q: The angle of elevation to the top of a Building in New York is found to be 5 degrees from the ground…

A: From the given information, Angle of elevation of a Building from ground, θ=50 Distance from the…

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

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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…

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Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

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: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

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Q: From a window,30.0 ft above the street, the angle of elevation to the top of a building is 50° and…

A:

Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

Q: From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top of…

A: Draw a schematic diagram of given figure.

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 19 feet long,…

A: In a right angled triangle:- Sin X = Perpendicular/Hypotenuse

Q: A ladder 5 m long leans against a building. If the angle between the ground and the ladder is 57…

A: Given: according to given data figure will be Where; AC is length of ladder, BC is distance between…

Q: A 500-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: Given a 500 ft -guy wire is attached to the to a communications towerand makes an angle 65° with the…

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

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall…

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Q: The angle of elevation to the top of the building is 69 If the firefighter is 26 feet from the…

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Q: From a window 33.0 ft above the​ street, the angle of elevation to the top of the building across…

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Q: From his eye, which stands 162 meters above the ground, Almadou ie angle of elevation to the top of…

A: Using  Tan thita= perpendicular/base

Q: A 16 foot ladder is used to scale a 14.5 foot wall. At what angle of elevation must the ladder be…

A: Please see the answer below.

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: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

Q: A submarine traveling at 9 mph is descending at an angle of depression of 5 degrees. How many…

A: Given, a submarine traveling at 9 mph is descending at an angle of depression of 5 degrees.

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

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

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Q: If you stand 100 feet from the gym, how tall would it be if the angle of elevation feet to the top…

A: Lets assume that the gym is x feet tall . Drawing the Diagram as per  the Question , Let OA…

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

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.