A campsite is 8.51 miles from a point directly below the mountain top. If the angle of elevation is 14 degrees from the camp to the top of the mountain, how high is the mountain?

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

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Q: From a window 30 feet above the level ground, a building 100 feet high, and at a distance of 200…

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Q: how far is the partner from the base of the tower, to the nearest tenth of a foot?

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Q: A dog looks up at a cat who has climbed a 29 foot tree. If the dog is 59 feet from the base of the…

A: The relation between the angles of a triangle and the sides of the triangle is given by the…

Q: The Washington Monument in Washington, D.C. is 555 feet tall. If a tourist sees the monument with a…

A: The Washington Monument in Washington, D.C. is 555 feet tall and a tourist sees the monument with a…

Q: A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. 32 - 25 ft – If the…

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

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

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Q: The angle of elevation from a point A on the ground to the top of a space shuttle is 27°. If point A…

A: It is given that the angle of elevation of the space shuttle from point A is 27°. The distance from…

Q: If the terminal side of an angle O rets in quadrant III, what method would you use to find the…

A: We find if the terminal side of an angle O rets in quadrant III, how would we use to find the…

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

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Q: A surveyor wishing to find the height of a lighthouse measures the angle A at a point 120 ft. from…

A: Let the height of the light of the lighthouse is h. See the picture below

Q: A lighthouse is 20 feet tall, and a boat is 50 feet from the base of the lighthouse. What is the…

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Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: for the upper triangle, use the tan function  tan36=x400 x=400tan36 x=400·0.7265425 x=290.61701

Q: A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude from the…

A: From the diagram drawn:

Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

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Q: The angle of elevation from an observer to thetop of a building is 35°. If the observer is 155…

A: To height of the building is calculated by measuring the distance from the object and the…

Q: Relative to the acute angle θ, the three sides of a right triangle are the ________ side, the…

A: Explanation: The longest side of the right triangle, which is also the side opposite the right…

Q: The angle of depression from the top of a building to the base of a car is 60∘. If the building is…

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Q: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

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Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A: The angle of elevation to the top of the tower = 28° The angle of depression to the bottom of tower…

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We have given angle of depression= 40°  Tower height= 45 feet  Find distance of partner from the…

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: The top of the building makes an angle of elevation of 40 degrees from a car parked on the ground.…

A: From triangle,tan40o = 60xx = 60tan40o = 71.50 mSo, the car is parked 71.50 m away from the base of…

Q: A kite with a string 150 feet long makes an angle of 45° with the ground, Assuming the string is…

A: Topic: height and distance

Q: If a person standing at the top of the building of height 50 ft is looking at her daughter standing…

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Q: Find the measure of the indicated angle to the nearest degree.

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Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

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Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of the…

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Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

A: here we have

Q: A lighthouse operator sights a sailboat at an angle of depression of 17 degrees. If the lighthouse…

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Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

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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…

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

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

Q: The angle of elevation is degrees (to the nearest degree)

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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: The angle of elevation from the top of a small building to the top of a nearby taller building is…

A: Given angle of elevation 46° Angle of depression 14°

Q: A park ranger, on top of a 200-- foot tower, spots a wolf at an angle of depression of 14°. How far…

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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: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

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Q: A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation…

A: Given;  Final height is 6 feet. The ramp is the hypotenuse and the elevation is the short leg of a…

Q: in a building, a person determines that the angle of elevation to the top of the monument is 15° and…

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Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: Find the measure of the indicated angle to the nearest degree

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Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

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Q: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…

Q: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

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Q: The angle of elevation from point A to the top of the cliff is 34°. If point A is 1,000ft from the…

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