From a point on the edge of one of two parallel rooftop sides of two buildings, a point directly opposite is identified on the other rooftop. From a second point 25 feet from the first point along the rooftop edge, a second sighting to the point on the opposite rooftop is made, and the angle θ that this line of sight makes with the rooftop is found to be 60°. How far apart are the two buildings? Round your answer to the nearest foot.

Q: The top of the slide is 12 feet from the ground and has an angle of depression of $53\degree$53°​ .…

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Q: A triangular lot has sides 1,460 ft, 2,740 ft, and 1,720 ft long. Find its largest angle in degrees.…

A: We use Cosines and sines formula.

Q: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Solution: The objective is to determine how far from the base of the tree am I.

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Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp 23 feet long, what…

A: detailed solution is given below

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

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Q: Assuming that a 370-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Draw a schematic diagram of a give question. Given data, Height of tree, AB = 370 ft C is the point…

Q: At 11:30 A.M. the angle of elevation of the sun for Washington, D.C., is 55.7°. If the height of the…

A:

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 23 feet long,…

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Q: A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their…

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 65∘∘. How tall…

A: given: The angle of elevation to a nearby tree from a point on the ground is measured to be . we…

Q: The angle of elevation to the top of a very tall Building is found to be 11° from the ground at a…

A: Given angle of elevation = 110 horizontal distance = 1 mi = 5280 foot

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A: Here AC is ladder of length 22 ftAB is buildingBC is ground and the angle between the ladder and…

Q: A 12 -foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 3…

A:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 74°.…

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Q: If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 13 feet long,…

A:

Q: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A: The figure is given by To evaluate : The distance between house A and house B i.e., length AB

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: The angle of, elevation to the top of a very tall Building is found to be 13° from the ground at a…

A: NOTE: Refresh your page if you can't see any equations. . here we have BC=1 mile and the angle of…

Q: From a point on the South Rim of a​ canyon, it is found that the angle of elevation to a point on…

A: Given:- From a point on the South Rim of a​ canyon, it is found that the angle of elevation to a…

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Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A: Given: A surveyor measures angle  ACB, which is found to be 50°, and then walks off the distance of…

Q: How high up the building does the ladder touch? (Round your answer to one decimal place.)

A: Given: The base of the ladder in the figure is  a = 5 and the angle formed by the ladder and the…

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Ladder = 18 ftangle , θ= 67°

Q: From a point 100 feet from the base of a tree on level ground the angle of inclination to the top of…

A:

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

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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 19 feet long,…

A: In a right angled triangle:- Sin X = Perpendicular/Hypotenuse

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A: distance between the point and the base of the building is 600 m  angle of elevation to the top of…

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We have, Height of redwood, P=350 foot Angle of elevation,   According to the rule of trigonometry,…

Q: A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

A:

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: I am about 286.3505 feet away from the base of the tree.

Q: From atop a 200-ft lookout tower, a fire is spotted due north through an angle of depression of 12°.…

A: Consider the given figure. Let h be the height of the tower, d be the distance from the fire to the…

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall…

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Q: A 35-foot ladder is leaning against the side of a building. If the ladder makes an angle of 24o 10'…

A: Given:A 35-foot ladder is leaning against the side of a building and it makes an angle of 24 degree…

Q: The goal posts of a hockey net are 2 metres apart. If a player wants to score while standing at a…

A:

Q: Assuming that a 340-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Suppose that the person height is negligible. Since it is a right angle triangle we can apply SOH ,…

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A:

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Height of redwood = 380 ftAngle of elevation = 51°Let distance between me and the base of redwood =…

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: From the top of a tower 60 ft highthe angle of depression to an object on the ground is 35 degrees.…

A:

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 240…

A: y=240 ft θ=40o from right angle triangle sinθ=perpendicularhypotenuse

Q: Assuming that a 320-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: The height of the redwood is 320-foot. The angle of elevation made on the top of tree is 55°

Q: A man standing between two trees and is 42 feet from the taller tree and 40 feet from the shorter…

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.