If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes does the wheel have?

Q: A machinist needs to weld a piece of iron parallel to an existing piece of iron as shown in…

A:

Q: 4. Suppose that the angle of elevation of the sun is 23.4. Find the length of the shadow cast by…

A:

Q: a 22-foot ladder leaning against a building makes a 70-degree angle with the ground. how far up the…

A:

Q: A person standing 306 feet from the base of a church observed the angle of elevation to the church's…

A: According to the question distance between base of the church and the observing person is 306 feet.

Q: In the right triangle, find b to the nearest whole number is c = 15 and the angle adjacent to b is…

A: It is given that the side c of the right angled triangle is 15 and (θ) is 37o . Here, the given…

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: 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 187-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far is the se of the…

A:

Q: On a test flight, during the landing of the space shuttle, the ship was 366 ft above the end of the…

A:

Q: If a 20-foot ladder makes a 65. angle with the ground, how many feet up a wall will it reach? Round…

A: We can easily found height of wall it will reach by ladder by using sine of angle .

Q: The minute hand of a clock, has length 15cm. How long out an angle of 105°? How far does it travel…

A: Use the property of circle and clock

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: 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: 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: The base of a ladder is 6 ft from the building, and the angle formed by the ladder and the ground is…

A:

Q: An eagle spotted a mouse 20 feet below at an angle of 42 degrees with the horizon. If the eagle…

A: From the given problem, The mouse is 20 feet below the horizon, sp EM = 20 feet The angle of…

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

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Q: From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

Q: 4. A 14.75 inch long windshield wiper swipes upward on an arc at an angle of 132°. How far across…

A:

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: How long is the side adjacent to angle A?

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Q: A 25-foot ladder leans up against a house at an angle of 65°. How high up on the house does 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: A bike is 80 long and has an end height of a 3 feet, as shown below. what is the measure of angle…

A:

Q: Jazmin is flying a kite, but it got caught at the top of a 24 ft tree. If she let out 100 ft of…

A:

Q: A minute hand of a clock has a length of 15cm. How long will it sweep out an angle of 105°

A: A minute hand of a clock has a length of 15cm. The area it will sweep at an angle of 105° , is…

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

A:

Q: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the…

A: see below the answer and explanation

Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

A:

Q: Two gears are adjusted so that the smaller gear, with a radius of 12.4cm, drives the larger one. If…

A:

Q: The recommended safety angle of a ladder against a building is 78 degree. If a 10meter ladder will…

A: Let the safety height of ladder reach to building is x safety angle of ladder is 78° length of…

Q: To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7…

A: To find the height of the flagpole.

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: 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: d) If a 6 foot tall ladder is leaning against a wall forming a 40 degree angle with the ground. How…

A: We are given with the word problem

Q: If a train climbs at a constant angle of 1.25°, how many vertical meters has it climbed after going…

A: Now draw the figure according to given information

Q: What is the measure of each angle of a regular decagon? If necessary, round to the nearest tenth.

A:

Q: From the top of a 25 meter tower erected at sea level, the angle of depression of a boat at sea was…

A:

Q: What angle is vertical to <AGC ?

A:

Q: A 3000-lb car traveling uphill has a grade resistance of 150 lb. Find the angle of the grade to the…

A: Given: A 3000-lb car traveling uphill has a grade resistance of 150 lb.

Q: 24. How far up a vertical wall can a 4-meter ladder reach if the angle it makes with the ground is…

A:

Q: Find the measure of the central angle of an arc if its length is 14n and the radius is 18 m.

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Q: When a 10-foot tall flagpole casts a 9-foot shadow, what is the angle of elevation of the sun? If…

A:

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

Q: What is the measure of each angle of a regular heptagon? If necessary, round to the nearest tenth.

A: We have to find angle

Q: The recommended safety angle of a ladder against a building is 75 degrees. A 10 m ladder will be…

A: Figure

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

A:

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.