A water tower 30 meters tall is located at the top of a hill. From a distance 120 meters down the hill, it is observed that the angle formed between the top and base of the tower is 8°. Find the inclination of the hill. Round your answer to the nearest tenth.

Q: From a window 30 feet above the level ground, a building 100 feet high, and at a distance of 200…

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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: A 14-ft ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: The angle of elevation from a point A on the ground to the top of a space shuttle is 27°. If point A…

A: It is given that the angle of elevation of the space shuttle from point A is 27°. The distance from…

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: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: We will use Trigonometric ratios for right angle triangle

Q: To find the distance from a house at point A that is on one side of a river to a house at point B on…

A: As Angle A is 40° and angle C is 50° we get value of angle B is 90°.

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 24°. How far…

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,…

A:

Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

A:

Q: communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A:

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

A:

Q: If a loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 20 feet long,…

A: In a right angle triangle, if the length of sides is known, then the angle between sides can be…

Q: = 12  ft from the building, and the angle formed by the ladder and the ground is 80°. How high up…

A:

Q: If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 21 feet long,…

A: So it's a triangular situation in which 2 sides are given and we have to find the angle.

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A:

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 18 feet, what…

A: Given Truck height =4 feet Ramp length=18 feet

Q: An observer at the top of a building sees a car on the road below. The angle of depression to the…

A:

Q: If a loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 21 feet long,…

A: Given: A loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 21 feet…

Q: From a point on the ground, the angle of elevation to the top of a vertical wall is 40°. If the wall…

A:

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°, If the viewer is…

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Q: If a loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 20 feet long,…

A:

Q: A lighthouse operator sights a sailboat at an angle of depression of 17 degrees. If the lighthouse…

A:

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

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: 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

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Given: A 19-ft ladder leans against a building so that the angle between the ground and the ladder…

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

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Q: If a loading ramp is placed next to a truck at a height of 2 feet and the ramp is 17 feet long what…

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 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: 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 angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A: Given that angle of elevation to a nearby tree from a point on the ground is 47° and the tree is 67…

Q: If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 20 feet long,…

A: I am going to solve the given problem by using some simple trigonometry results to get the required…

Q: If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 21 feet long,…

A:

Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: A 16 foot ladder is used to scale a 14.5 foot wall. At what angle of elevation must the ladder be…

A: Please see the answer below.

Q: what angle does the ramp make with the ground

A: The arrangement forms an right angled triangle with ramp is hypotenuse. So by using trigonometric…

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: If a loading ramp is placed next to a truck, at a height of 7 feet, and the ramp is 20 feet long,…

A:

Q: A mountain cabin is built on the side of a hill with a porch extending over a portion of the…

A: The diagram is shown below:

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: A 75-ft tall masthead of a tugboat is located 45 ft. away from the bow. If the top of the masthead…

A:

Q: If a loading ramp is placed next to a truck, at a height of 7 feet, and the ramp is 17 feet long,…

A: Trigonometry  Question

Q: If a loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 23 feet long,…

A: We use trignometry rule

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

A:

Q: From the top of a coconut tree that is 20 meters tall, a dog is spotted at an angle of depression of…

A: According to the given information the figure is, Height of a coconut tree = BC = 20 m Distance…

Q: If a loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 19 feet long,…

A:

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.