Points A and B are separated by an obstacle. In order to find the distance between them, a third point C is selected which is 120 yards from A and 150 yards from B. The angle ACB is measured to be 80°10'. Find the distance from A to B.

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: 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: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: The given data is:  AB=47 miles The angle of elevation of A and B are 87.1∘ and 83.8∘

Q: To calculate the height of a tree, Marie measures the angle of elevation from a point A to be 46°.…

A: The sides and angles of a right triangle are related by the trigonometric functions. Trigonometric…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: The given figure is: You know the exterior angle of a triangle is equal to the sum of two interior…

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: surveyor wants to find the height of an inaccessible cliff so she takes measurements at point A,…

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Q: The sides of a parallelogram are 16 m and 10 m, and the longer diagonal makes an angle of 18° with…

A: Let x be the length of the longer diagonal use law of sines to find the value of x from the lower…

Q: Two points, A and B, are on opposite sides of a building. A surveyor chooses a third point, C, 73 yd…

A: We sketch the situation roughly  We have a=73, b=104, C=58.3  We have to find AB=c =?

Q: A pilot is flying over a flat (horizontal) land. She determines the angle of depression to a…

A: The given situation is as shown. Now, use the fact that sum of the angle s of the triangle is 180°.…

Q: The angle of elevation from a viewer to the top of a flagpole is 50°. If the viewer is 40 feet away…

A: Solution: In ∆ABCtan 50°  =ABBC⇒ tan 50×40 = h                   h = 47.67                   h =…

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: A building is 429 feet tall and is positioned 900 feet inland from the shore. A person in a boat in…

A: According to questionA building is 429 feet tall and is positioned 900 feet inland from the Shore.…

Q: A sailor wants to anchor his sailboat 30 m from a lighthouse that is 12 m tall. Determine the angle…

A: We have to find angle of elavation

Q: A helicopter takes off, and travels forward at an angle of 65.1°above horizontal. After following…

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Q: A ladder is leaning against the side of a building. If the ladder forms an angle of 60∘ with the…

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Q: 1. To determine the height of a tree, a person stands 40 feet from the tree and finds that the angle…

A: As per the guidelines .i can solve only first question

Q: The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground…

A: tan theta=height/base tan 4=height/2 height= 2tan 4            = 0.14miles            =.14*5280…

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: The angle of elevation to the top of a building in Seattle is found to be 2.8 degrees from the…

A: Given that: Angle of elevation  = 2.8°Distance from the base = 1.5 miles

Q: A tunnel is to be dug from point A to point B. The distance from A to C is 400m and from B to C is…

A: AB= Tunnel to dipAC = 400 CB = 700

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: 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: (1) To measure the height of a building, a surveyor sets up his transit at a distance of 112.2 feet…

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Q: Two points, A and B, are on opposite sides of a building. A surveyor chooses a third point, C, 79…

A: As here we are given the length of AC, BC and the angle ACB so, we will use cosine rule to determine…

Q: The angle of elevation from an observer to the top of achurch is 0.3 radian, while the angle of…

A: Firstly Change radian to degree       0.3 radian =17.1887°0.4 radian =22.9183° According to…

Q: A pine tree is located 150 ft from a person on the balcony of a house. From the balcony, an observer…

A: Given: A pine tree is located 150 ft from a person on the balcony of a house. From the balcony, an…

Q: With the sun at a certain altitude, it is noticed that a tower casts a shadow 110 feet long at the…

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Q: At a point 30 ft from the base of a tree, the angle formed with the ground looking to the top…

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Q: 1. From the top of a cliff 400 feet above sea level, the angle of depression of a boat out to sea is…

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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: The angle of elevation to the top of a Building in New York is found to be 3 degrees from the ground…

A: Consider the below figure

Q: The shadow of a red-pine tree in Northern Minnesota is 131 feet long when the angle of depression…

A: Given: The red-pine tree AB with its shadow BC = 131 ft. The angle of depression is 31o.

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

A: SOLUTION-

Q: 2) As shown in the diagram below, a ship is heading directly toward a lighthouse whose beacon is 125…

A: This question is related to Trigonometry, we will we will solve it using given information.

Q: At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°.…

A: Consider the given information. Make the graph from the given information.

Q: Two hikers set out in different directions froma marked tree on the Bruce Trail. The angle formed…

A: Given query is to find the distance between the hikers.

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: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

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Q: A person can see the top of a building at an angle of 65°. The person is standing 50 ft. away from…

A: We have given :  Angel of elevation= 65° Person distance from the building= 50ft And his eye level =…

Q: The angle of elevation to the top of a building is 38 . From a point 440 ft. farther away the angle…

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Q: 1. A 20-foot ladder leans against a wall so tha the base of the ladder is 8 feet from the base of…

A: Given :- Length of ladder=20 ftBase of ladder is 8 ft from the base of building .We have to find…

Q: At Sampaloc Lake, a boatman sights a buoy at an angle of 28° to the boat's path. He continues on the…

A: Given: At Sampaloc Lake, a boatman sights a buoy at an angle of 28 to the boat’s path. He continues…

Q: Engineers want to measure the distance from P to Q, but the span from P to Q is across the tip of a…

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Q: A ladder is leaning against the side of a building and reaches a spot 17 feet above the ground, If…

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

Q: The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking…

A: Definition used –  For finding height and distance in the right-angle triangle we can use…

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…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.