The angle of elevation to the top of a building changes from 20° to 40° as an observer advances 150 feet toward the building. Find the height of the building, x, to the nearest foot. The height of the building is approximately (Do not round until the final answer. Then round to the nearest whole number as needed.) feet.

Q: A radio tower is located 275 ft from a building. from a window in the building, a person determines…

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Q: An engineer designs a 80-foot cellular telephone tower. Find the angle of elevation to the top of…

A: Given data is : An engineer designs a 80-foot cellular telephone tower To find the angle of…

Q: A pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

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Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,takes a…

A: Given: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,…

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 19 degrees…

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Q: A surveyor wishing to find the height of a lighthouse measures the angle A at a point 120 ft. from…

A: Let the height of the light of the lighthouse is h. See the picture below

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

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Q: If you stand 35 feet from the bottom of a movie screen and the screen is 75 feet tall, what is the…

A: If you stand 35 feet from the bottom of a movie screen. The screen is 75 feet tall its make a…

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

Q: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

Q: A hunter is laying on the ground near a 15 foot tall tree. He sees his prey on top of the tree at an…

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Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

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Q: A person standing 364 feet from the base of a church observed the angle of elevation to the church's…

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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: An engineer designs a 90-foot cellular telephone tower. Find the angle of elevation to the top of…

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Q: Use the law of sines to find the measure of the indicated angle

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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 tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: Find the value of the angleθ in degrees rounded to the nearest tenth of a degree.

A: Given-  To Find- The value of the angle θ in degrees rounded to the nearest tenth of a degree.

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: 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: The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground…

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Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

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Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 188 ft above water level to the…

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Q: Find the measure of the indicated angle to the nearest degree.

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Q: Find the angle of elevation of the sun when a 22 ft. tree casts a shadow 15 R. long on level ground.

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Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 20 feet, what…

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Q: Find x, the angle of depression from the top of a lighthouse that is 156 ft above water level to the…

A: The given figure is: To find x

Q: Consider the following figure: Transit 27.8° 131 ft 5.5 ft From a transit station located 5.5 ft…

A: By trigonometric Identity we solve the following problem

Q: From a point on level ground 30 yards from the base of a building, the angle of elevation is 38.7°.…

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Q: Find the angle between v and w to the nearest degree.

A: SOLUTION-

Q: The angle of elevation is degrees (to the nearest degree)

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Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

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

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Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a…

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: A 500-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: Given a 500 ft -guy wire is attached to the to a communications towerand makes an angle 65° with the…

Q: Find x, the angle of depression from the top of a lighthouse that is 189 ft above water level to the…

A:

Q: When the angle of elevation to the sun is 37°, a flagpole casts a shadow that is 24.2 ft long. What…

A: Given, Angle of elevation to the sun is 37° Flagpole casts a shadow that is 24.2 ft long

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

A: Anglee of elevstion = 9°Distance of base ana point of observation = 1 mile = 5280 feetIt will make a…

Q: The angle of elevation to the top of the building is 69 If the firefighter is 26 feet from the…

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Q: A surveyor measured the angle of elevation of a flat spire as 15° from a point on horizontal ground.…

A: Let the height of the spire is the measurement of a line segment which is normal to the horizontal…

Q: A surveyor measured the angle of elevation of a flat spire as 15⁰ from a point on horizontal ground.…

A: Given data is : Angle of elevation of a flat spire as 15∘ from a point on horizontal ground. He…

Q: A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation…

A: Given;  Final height is 6 feet. The ramp is the hypotenuse and the elevation is the short leg of a…

Q: Find the measure of the indicated angle to the nearest degree

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Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

A:

Q: find the angle 0 to the nearest

A: Given

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

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.