A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62° . If the lighthouse is 30ft tall, how far away is the girl from the lighthouse? Please show your work!

Q: A person standing 306 feet from the base of a church observed the angle of elevation to the church's…

A: According to the question distance between base of the church and the observing person is 306 feet.

Q: A 12 ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder…

A: From the given, consider the below figure

Q: A 17-foot ladder is placed against a wall. The ladder is on level ground at an angle of 71.5 degrees…

A:

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A:

Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Given,          The ground to the top of a 45-ft tree from 65 feet away.

Q: A 39-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

A:

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

Q: A 5-meter-long ladder, learning against a vertical wall makes an angle of 65 degree ground. How…

A: Given, Ladder length=5 meters leaning against a vertical wall makes an angle of 65 degrees on the…

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 ranger at the top of a fire tower observes the angle of depression to a fire on level ground to be…

A: From the given problem the representative diagram is as shown below.

Q: A building is 50 ft high. At a distance away from the building, a person notices that the angle of…

A:

Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: You are in a tall building and from your window you notice a window washer working on the building…

A:

Q: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet…

A: Given: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132…

Q: what is the angle of elevation of the ladder?  how high does the ladder reach the building ?

A:

Q: If you stand 25 feet from the base of a tree on level ground and the angle from ground to the top of…

A: Given information: Consider AB is the height of the tree, and BC is the distance from the base of…

Q: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

A:

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A:

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: What is the angle of elevation of the top of the pole 10m high from an observer who is 10m away from…

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50 degree angle with the ground. How far…

A: We can find the answer as below

Q: Suppose the Eiffel Tower is located 1000 feet from a building. From a window in the building, a…

A:

Q: A 24 ft ladder leans against a building so that the angle between the ground and ladder is 85…

A: Given : A 24 ft ladder leans against a building so that the angle between the ground and ladder is…

Q: From a point on level ground 120 feet from the base of a tower, the angle of elevation is 48.3°.…

A: Definition used -             trigonometric ratio -             In a right angle triangle -…

Q: A small plane takes off from an airport and begins to climb at a 10.08 angle of elevation at 5,000…

A:

Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

A:

Q: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

Q: A 36 -ft ladder leans against a building so that the angle between the ground and the ladder is 83…

A:

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

A:

Q: From an airplane at an altitude (height) of 1200 m, the angle of depression to a rock on the ground…

A: Given,            From an airplane at an altitude (height) of 1200 m, the angle of depression to a…

Q: From a point of observation 135 meters from the base of a building, the angle of elevation to its…

A:

Q: From the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could…

A: Given:   To determine: angle of depression θ

Q: The angle of elevation to the top of Wayne Tower in Gotham City is found to be 14° from the ground…

A:

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: A 3000-lb car traveling uphill has a grade resistance of 150 lb. Find the angle of the grade to the…

A: Given: A 3000-lb car traveling uphill has a grade resistance of 150 lb.

Q: A person standing 164 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

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: Janelys leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground. How…

A: Here AC = length of ladder = 16 foot AB = wall BC = ground m∠ACB = 61° We have to find the length of…

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

A: Given that, a radio tower is located 425 feet from a building and the angle of elevation to the top…

Q: how many meters above the ground is the balloon if there is no stack on the cable?

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Q: A curious math student standing on the roof of a building 36 feet above the ground decides to…

A:

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

A: Answer is in below step

Q: A 73-foot rope from the top of a circus tent pole is anchored to the flat ground 43 feet from the…

A:

Q: Two guy wires from the top of a 35-ft tent pole are anchored to the ground below by two stakes so…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level, and…

A: Let the angle of elevation be 'θ' and the length of the string be 'x'. Let the height of the kite…

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: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

A:

Q: what is the angle of elevation of the ladder? how high does the ladder reach on the building?

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.