A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees. He knows the bridge clearance is 16.5 feet. Give the horizontal distance from the bottom of the bridge to the surveyor to the nearest 0.01’.

Q: In the evening, a tree that stands 12 ft tall casts a long shadow. If the angle of depression from…

A: Since, it is given that in the evening a 12 ft tall tree cast a long shadow,Also, it is given that…

Q: a 22-foot ladder leaning against a building makes a 70-degree angle with the ground. how far up the…

A:

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: From the top of a 187-ft lighthouse, the angle of depression 2 to a ship in the ocean is 15°. How…

A: Given,          From the top of a 187- ft lighthouse. the angle of depression to a ship          in…

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 observer is 120 ft from the base of a television tower, which is 150 ft tall. Find the angle of…

A: Given query is to find the angle of elevation.

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

A:

Q: A 20-ft-tall light post casts a 25-ft shadow along level ground. What is the angle of elevation of…

A: A 20-ft-tall light post casts a 25-ft shadow along level ground.

Q: A person standing 234 feet from the base of a church observed the angle of elevatlon to the church's…

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

Q: a 14 yard rope is strung from the bottom of one tree to the top of another. The angle of elevation…

A:

Q: A 12 feet ladder leans against the wall of a building and touches the bottom of a window that is 10…

A: We have to determine the angle of ledder with the ground

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: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

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

A:

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground if the bottom of…

A: Here use we have to use trigonometric ratio to find the angle required.

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: 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 an 8-foot ladder leans against a wall at a height of 7 feet. What angle (degrees) does…

A: Length of the ladder is 8 foot and length of the wall is 7 feet. We have to find the angle between…

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: From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

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

A:

Q: From the top of a lighthouse 18 m high, the angle of depression to sighta boat is 4°. What is the…

A: From the top of a lighthouse 18 m high, the angle of depression to sight a boat is 4°. Let the…

Q: From the top of a lighthouse 45 meters above sea level, a swimmer is observed swimming with angle of…

A: The diagram for given situation will be    whre AB=45m hieght of light houseC, position of…

Q: An escalator at a shopping center is 200 ft 9 in. (2409 in.) long, and rises at an angle of 15°.…

A: We have to find

Q: A 40 ft. guy wire is connected to a telephone pole, forming a 21° angle with the pole. How far from…

A: Consider this right angled triangle as ABC then to calculate how far from the pole is the guy wire…

Q: A water sprinkler head is designed to shoot a stream of water a distance of 42 feet and rotate…

A:

Q: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

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: A 28-foot long piece of wire is attached to the top of a pole at one end and nailed to the ground at…

A: Wire length = 28 foot Angle = 30°

Q: From the top of a tower 23 m high, a princess looks down at an angle of depression of 70 degrees.…

A: here we need to find the distance bc and ac. the solutio is following.

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

A:

Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the…

A: see below the answer and explanation

Q: The recommended safety angle of a ladder against a building is 78 degree. If a 10meter ladder will…

A: Let the safety height of ladder reach to building is x safety angle of ladder is 78° length of…

Q: An observer at the top of a skyscraper sights a tour bus at an angle of depression of 61 degrees.…

A:

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: 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: player is

A:

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

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

A: Check the ladder reach window sill 10.5 ft up from the base of house.

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

Q: A poll tilts towards the sun at an 8 degree angle from the vertical at it casts a 22ft. shadow. The…

A: Given:  A poll tilts towards the sun at an 8-degree angle from the vertical at it casts a 22ft.…

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: From the observation deck of a skyscraper, Bashir measures a 45° angle of depression to a ship in…

A: From the observation deck of a skyscraper, Bashir measures a 45° angle of depression to a ship in…

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

A:

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A:

Q: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

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.