A course for a skateboard race consists of a 200-meter downhill run and a 150-meter level portion. The angle of elevation of the starting point of the race from the finish line is 27.4°. What angle does the hill make with the horizontal?

Q: A mother gazes out a second-floor window at her son playing at the playground. If the mother's eye…

A: The arrangement of mother's eye level, ground level and playground forms a right angles triangle.…

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A:

Q: From an airplane at an altitude of 1200 m, the angle of depression to a rock on the ground measures…

A: This question is related to height and distance, we will solve it using given information.

Q: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

A: Let the distance of the ship offshore is x feet. A rough sketch of given situation is shown below…

Q: Kiato is on top of a 200 ft. lighthouse. The angle of depression to a ship on the ocean is 20°. How…

A:

Q: A woman 1.5 m tall is on top of a building. She observes a car on the road at an angle of 75°. If…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: A ship's sonar locates wreckage at a 15 degrees angle of depression below the water, as pictured. A…

A: Given: A ship sonar locates wreckage at a 15° angle of depression below the waterA diver is lowered…

Q: A building is 429 feet tall and is positioned 900 feet inland from the shore. A person in a boat in…

A: According to questionA building is 429 feet tall and is positioned 900 feet inland from the Shore.…

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: A fireman leaned a 36 foot ladder against a building. If he placed the ladder 7 feet from the base…

A:

Q: From a hot air balloon 2,500 feet above the ground, you see a clearing whose angle of depression is…

A: The height is 2,500 feet above the ground. The angle of depression is 25°

Q: A ship is on the surface of the water, and its radar detects a submarine at a distance of 238 ft, at…

A: Here we have to use basic trigonometric ratios to find the depth of the submarine.

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A: The angle of elevation to the top of the tower = 28° The angle of depression to the bottom of tower…

Q: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

A:

Q: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

A:

Q: You are standing 15 feet away from a tree, and you measure the angle of elevation to be 35∘. How…

A:

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

A:

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

A:

Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

Q: A plane rises from take-off and flies at an angle of 10° with the horizontal runway. When it has…

A: given,

Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of the…

A:

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

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

A:

Q: A person standing 188 ft from the base of a church observed the angle of elevation to the church's…

A: Given:  The person standing 133 ft from the base of church observed the angle of elevation to the…

Q: A fireman leaned a 36-foot ladder against a building.  If he placed the ladder 7 feet from the base…

A: To find the angle between ladder and ground

Q: at the same basketball game during halftime, the home team's mascot has a t-shirt launcher in which…

A:

Q: From a hotel window 30 meters above the ground, Alan finds that the angle of elevation of the top of…

A: Let the distance between the monument and the hotel window be x. Then we get,…

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

A:

Q: A mop is inclined against the wall, creating a 40 degree angle, along the floor. How far does the…

A:

Q: A boy is singing Lupang Hinirang at a location in which the angle of elevation of the top of a 4-m…

A: A boy is singing Lupang Hinirang at a location in which the angle of elevation of the top of a 4-m…

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

A:

Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest…

A:

Q: A park ranger, on top of a 200-- foot tower, spots a wolf at an angle of depression of 14°. How far…

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: An airship is flying at an altitude of 800 m when it spots a village in the distance with a…

A: Consider the diagram given below, Point A is the location of the plane at that instant, point C is…

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: An observer at the top of a skyscraper sights a tour bus at an angle of depression of 61 degrees.…

A:

Q: From the top of a light-house at a height 20 meters above sea level, the angle of depression of a…

A: Use trigonometric ratio, tan(theta) = Perpendicular/Base Note that, side opposite to the angle is…

Q: O A woman 1.65 m tall stood 50 m away from the foot of a tower and observed that the angle of…

A: Solution: The objective is to find the height of the tower

Q: What angle is vertical to <AGC ?

A:

Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

A:

Q: The angle of depression from a helicopter to a landing pad is 65 degrees. If the horizontal distance…

A: Given that  The angle of depression from a helicopter to a landing pad is 65 degrees horizontal…

Q: A man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

Q: 2) An airplane flying at an altitude of 563m is 2 km from the airstrip. What is the angle of…

A:

Q: A 25 foot flagpole casts a 42 foot shadow. What is the angle that the sun hits the flagpole? to 25…

A: We use Trigonometry ratios

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

A:

Q: A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level, and…

A: Let the angle of elevation be 'θ' and the length of the string be 'x'. Let the height of the kite…

Q: A 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what…

A: Since a 4 m beam is used to brace a wall and given that if the bottom of the beam is 3 m from the…

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