Distance between Runners Two runners in a marathondetermine that the angles of elevation of a news helicoptercovering the race are 38° and 45°. If the helicopter is1700 feet directly above the finish line, how far apart are therunners?

Q: angle of elevation from point A on the ground to the top of a 225-foot cell phone tower is 65°.…

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Q: 80. A group of campers hikes down a steep path. One member of the group has an altimeter on his…

A:

Q: Height of an Obelisk Two people decide to find the height of an obelisk. They posi-tion themselves…

A: In △ABC, tan 65∘=hxh=x tan 65∘     (1) In △ABD, tan 54∘=h25+xh=tan 54∘25+x       (2)

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 71°, and the top…

A: The angle of elevation of the ladder (say o ) = 71° distance between top of the ladder above the…

Q: Height of a building From a point A that is 8.20 meters above level ground, the angle of elevation…

A: The point A is 8.20 m above the ground level. Let PQ be the building. A rough sketch for the…

Q: Speed of an airplane An airplane flying at an altitude of 10,000 feet passes directly over a fixed…

A: Definition used-                              Speed of plane V=Altitutdetan (Angle of…

Q: Distance Two guy wires from the top of a 35­foot tent pole are anchored to theground below by two…

A: Length of the tent pole is 35 foot. The tent pole is perpendicular to the ground and between the two…

Q: Angle of Elevation If the angle of elevation of the sun is 75 degree 30', how tall is a postthat…

A: The given angle of elevation is, θ=75° 30' Convert the angle of elevation to degree. Thus, the…

Q: Part D,E, and F.

A: According to the given information, it is required to solve part (d),(e),(f). So, for part (d) A…

Q: Height A ladder that is 20 feet long leans against theside of a house. The angle of elevation of the…

A: Height A of the ladder that is 20 feet long It leans against the side of a house. The angle of…

Q: Height of a Building The angle of elevation to the top of theEmpire State Building in New York is…

A: Suppose that: The height of the Empire State Building = x                         Note: 1 mi = 5280…

Q: Iwo wires are attached to the top of a billboard. One is in front of the billboard, is 100 m long…

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Q: Height of a tower From a point P on level ground, the angle of elevation of the top of a tower is…

A: Refer the illustrative figure below.

Q: 9. Leaning Ladder A 20-ft ladder is leaning against a building.If the base of the ladder is 6 ft…

A: The length of ladder is 20ft Base of building is 6ft away from building To find angle of elevation…

Q: 43 1000 Tis

A: Given, the altitude of the helicopter = 1000 ft height of the mountain =5210 ft  the angle of…

Q: Height of a Hill A road up a hill makes an angle of 5 degree with the horizontal. If theroad from…

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Q: The trunk of a tree makes a 60° angle with the ground. A ladder leans against the trunk on the…

A: The law of cosine is given by the expression . This is used to solve the triangle when some of the…

Q: A ramp 38 ft long rises to a platform. The bottom of the platform is 20 ft from the foot of the…

A:

Q: A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the water. From point…

A: Given problem:- A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the…

Q: A boy is flying a kite. His kite string is extended 50 meters long. The boy is 1.7 meters tall, and…

A: Given: To calculate: Length of AE.

Q: Height of a Door From a point on the floor the angle of elevation to the top of adoor is 478, while…

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Q: A 14 ft ladder leans against the side of a house. The bottom of the ladder is 6 ft away from the…

A: Given the base of the base of the ladder is 6 ft. from the side of the house. The length of the…

Q: How far apart are the two fires

A: We have to find out the distance between the two fires.

Q: Height of a Tree An arborist needs to measure the height of a giant sequoia tree. Hemoves some…

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Q: Height of a pole Two wires stretch from the top T of a vertical pole to points B and C on the…

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Q: from the top of an apartment building the angle of depression to a car parked on the street below is…

A: By the given information we can construct triangle as below : Given Data : AB=90 feet∠CAD=32°

Q: A 16 ft ladder leans agalnst the side of a house. The top of the ladder Is 15 ft off the ground.…

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Q: Height of a Rocket A rocket fired straight up is tracked by an observer onthe ground 1mi away.(a)…

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Q: 3. The top of the Leaning Tower of Lisa is now only 100 feet from the ground, measuring vertically.…

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Q: boat heading out to sea starts out at Point A, at a horizontal distance of 1390 feet from a…

A: We will use trigonometric Ratio to solve this.

Q: A ramp 38 ft long rises to a platform. The bottom of the platform is 20 ft from the foot of the…

A: Given,

Q: 8. A vertical pole is 10 m tall. A cable is connected from the top of the pole to a point on the…

A: Use the basic trigonometry and find x

Q: Angle of Depression of a Light A company safety committee has recommended that a floodlight be…

A:

Q: 55 A woman looks down from a hot air balloon. She sees a sheep below and measures the angle of…

A: Consider the given information We have to find DC.

Q: Radio Antenna A short-wave radio antenna is supported bytwo guy wires, 165 ft and 180 ft long. Each…

A: Radio Antenna A short-wave radio antenna is supported bytwo guy wires, 165 ft and 180 ft long. Each…

Q: A hot air balloon is flying at an altitude of 2926 feet. the angle of depression for the pilot in to…

A: We use Trigonometry ratios to solve this Question

Q: You are on level ground in the late afternoon. The sun is at an angle of elevation of 20 degrees. A…

A:

Q: A 15 ft ladder leans against the side of a house. The top of the ladder is 13 ft off the ground.…

A: Given that a 15 ft ladder leans against side of a house. The top of the ladder is 13 ft off the…

Q: Height of Cloud Cover To measure the height of the cloudcover at an airport, a worker shines a…

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Q: Diameter of the Sun If the distance to the sun is approximately 93 million miles, and, from the…

A: Given: If the distance to the sun is approximately 93 million miles, and, from the earth, the sun…

Q: A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder…

A:

Q: Directions: Draw a picture torepresent the situation. Then, solve the problem. You must show all of…

A: Given that: Length of shadow: s=6 mAngle of elevation from the tip of the shadow to the top of the…

Q: Height of a Tree To estimate the height of a tree, one person positions himself duesouth of the…

A: Let one person stand at A and another at B and tree is at point C. Distance between person and tree…

Q: A 15th ladder leans against the side of a house. The bottom of the ladder is a 6 ft away from the…

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Q: Angle of Elevation A woman entering an outside glass elevator on the ground floorof a hotel glances…

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Q: a ladder leans against the side of the house. The angle of elevation of the ladder is 67 degrees,…

A:

Q: A boat is heading towards a lighthouse, where Easton is watching from a vertical distance of 115…

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Q: Points A and B are seperated by a lake. To find the distance between them, a surveyor locates a…

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Q: Angle of Elevation From a point on the ground, a person notices that a 110-footantenna on the top of…

A: Given Angle of Elevation From a point on the ground, a person notices that a 110-foot antenna on the…

Q: The sun is directly overhead. The shadow of the balloon falls 14 feet 6 inches from the tether.…

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.