A ramp 27 ft long rises to a platform. The bottom of the platform is 12 ft from the foot ramp. Find x, the angle if elevation of the ramp. Round your answer to the nearest tenth of a degree.

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: As shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65°…

A: A ladder 5 feet long leans against a wall and makes an angle 65° with the ground.we have to find…

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

A:

Q: To calculate the height of a tree, Marie measures the angle of elevation from a point A to be 46°.…

A: The sides and angles of a right triangle are related by the trigonometric functions. Trigonometric…

Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

A:

Q: A kite is flying at an angle of elevation of 67° with the ground. If 100 feet of string have been…

A:

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: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude from the…

A: From the diagram drawn:

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

A:

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

A:

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: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

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

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

A:

Q: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

A:

Q: A 26 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A: Solving the problem finding the angle between them.

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

A:

Q: From the top of a 190-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Given that height of lighthouse is 190 ft. And depression angle is 21°. And we find that how far is…

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

A:

Q: A building 50 ft tall is on a hillside. A surveyor at a point on the hill observes that the angle of…

A: BT be the height of the building which is equal to 50 ft. BT=BO+OT……i

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

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

A:

Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: An observer on the roof of Building A measures a 27° angle of depression between the horizontal and…

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: 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: A 17 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A:

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 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: From an airplane at an altitude of 1,289 m, the angle of depression to a rock on the ground measures…

A:

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 300-foot tall monument is located in the distance. From a window in a building, a person…

A:

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

A:

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

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

Q: If you have a 16-ft extension ladder, and you place it against a wall so that it has a 35-degree…

A:

Q: At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°.…

A: Consider the given information. Make the graph from the given information.

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

Q: A 20-foot ladder is leaning up against a wall. The angle formed with the base of the ladder and the…

A:

Q: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

Q: player is

A:

Q: A submarine traveling at 9 mph is descending at an angle of depression of 5 degrees. How many…

A: Given, a submarine traveling at 9 mph is descending at an angle of depression of 5 degrees.

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: A house is 500 feet high. At a certain distance away from the house, an observer determines that the…

A: Given that, A house is 500 feet high. At a certain distance away from the house, an observer…

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: A detailed solution is given below.

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

A:

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

A:

Q: A 20-foot ladder is leaning up against a wall. The angle formed with the base of the ladder and the…

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.