What is the angle of elevation to the kite if a kite is 40 feet off the ground and the string holding the kite is 42 feet long?

Q: Suppose you know that a building has a height of 540 feet and when you stand a distance away from…

A:

Q: To measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of…

A: We have to find the height of stone face.

Q: A person is standing 30 meters from a traffic light. If the angle of elevation from the person's…

A: Given that, A person is standing 30 meters from the traffic light, and angle of elevation from…

Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings…

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Q: An observer found the angle of elevation at the top of the tree to be 27 degrees. After moving 10 m…

A: Given:     To determine: length of AB

Q: A surveyor sights two signs and the angle between the two lines of sight measures 80°. If the first…

A: Given that the angle between the two lines of signs is 80∘. The first and the second signs are 70 m…

Q: measure a stone face carved on the side of a​ mountain, two sightings 650 feet from the base of the…

A: Given query is to find the height of the stone face using triangle.

Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: There is a lightning rod on the top of a building. From a location 250 feet from the base of the…

A: 250 feet from the base of the building, the angle of elevation to the top of the building is…

Q: From the ground 30 feet away from a tree, the angle of elevation to the top of tree is 38˚ Find the…

A: Explanation of the answer is as follows

Q: A tower 125 feet high stands on the side of a hill. At the point 240 feet from the foot of the…

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: Given the data:

Q: a ramp makes an angle of 10 degrees with the ground. If the top of the ramp is 4 feet above the…

A:

Q: A man and a woman standing 3.8 miles apart spot a hot air balloon in the sky between them at the…

A: Let, B=balloon M=man W=woman D=perpendicular base of the balloon   We have to find BD.

Q: To measure a stone face carved on the side of a​ mountain, two sightings 850 feet from the base of…

A: Given that: Angle of elevation at the bottom of the face=25°Angle of elevation at the…

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: what is the angle of elevation of the sun when a 47 ft mast casts a 32 ft shadow

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Q: A surveyor wants to know the length of a tunnel built through a mountain. According to her…

A:

Q: 120-foot guy wire is attached to the top of an antenna. The angle between the guy wire and the…

A:

Q: The angle of elevation to the top of a mountain in Muscat is found to be 45° from the ground at a…

A: Given that elevation to the top of mountain is found to be 45° and distance base to mountain is 79…

Q: In order to estimate the height of a building, two students stand at a certain distance from the…

A:

Q: To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of…

A: To sightings 700 feet from the base of the mountain the angle of elevation 34 degree

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: What angle does the ladder make with the ground if a 15-foot ladder is leaned against a house and…

A: Explanation: Given that,  ladder = 15 feet distance between the base of ladder and house = 4 feet…

Q: observation tower is 75 m high. A support wire attached to the tower 20 m from the top. If the…

A: Given query is to find the length of the wire.

Q: A ramp makes an angle of 12° with the ground. If the top of the ramp is 8 feet above the ground, how…

A: Visualizing the question let AB be the ramp, ∠BAO be the angle by the ramp with ground

Q: An airplane climbs at an angle of 15 degrees with the ground . What is the ground distance it has…

A:

Q: A guy wire to a tower makes a 73 degree angle with level ground. At point 40 ft farther from the…

A: We sketch the situation roughly Let x= the length of the wire.  y= distance of its base h= height…

Q: The angle of elevation for the first hill of roller coaster is 55 degrees. If the length of the…

A: Please see the answer in Step 2

Q: What should be the height of a flagpole where a 20 feet long ladder reaches 20 feet below the top of…

A: Given: The length of the ladder is 20 feet long.

Q: The angle of elevation to the top of a tower from point A on the ground is 18.7°. From a point​ B,…

A:

Q: A man and a woman standing 3.1 miles apart spot a hot air balloon in the sky between them at the…

A:

Q: A35-foot tall pole is leading towards a building.To stop the pole from leaning further, a 48-foot…

A: A pole of height 35 feet  and a supported cable of length 48 feet which is at a distance of 30 feet…

Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

A:

Q: ladder is leaning against the top of a building. If the ladder is 12.5 m long and 3m from the base…

A:

Q: At one location, the angle of elevation of the top an antenna is 44.2°. At a point that is 100 feet…

A: We sketch the situation roughly

Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

A:

Q: A 140-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation…

A:

Q: The angle of elevation from a rock on the ground to the top of a tree is 38°. If the rock is 20 feet…

A:

Q: wire is attached from the top of a 30-foot tall telephone pole to a stake in the ground. If the…

A: Based on the information given in the problem, you can draw a right triangle like the one shown…

Q: Suppose that a 100 foot tree casts a shadow that is 135 feet long. What is the angle of elevation of…

A: According to questions , here , θ= angle of elevation As we know that ,In Right angled triangle…

Q: A ladder leaning against the wall makes an angle of 74° with the ground. the base of the ladder is…

A:

Q: From the top of the control tower 250 m tall, an airplane is sighted on the ground below. If the…

A:

Q: Suppose you drive 0.6 miles on a road, during which the vertical distance changes from 0 to 340…

A: Given,

Q: measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of the…

A: Let the height of the stone​ face is AB=h and the angle of elevation to the bottom of the face is…

Q: The angle of elevation from the top of a 95 foot tall bulding to a hot alr balloon In the sky is 76.…

A:

Q: The angle of elevation of the top of a mountain is 29º. At another point 100 m closer, the angle of…

A: Let the height of the mountain be h and the distance of the closer point from the base of the…

Q: The angle of depression from a window to a rock to the ground is 67.8 degrees. What is the angle of…

A:

Q: 1. Stephanie knows that when she stands 123 feet from the base of the flagpole the angle of…

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.