A roof is in the shape of an isosceles triangle. The roof is 44 feet wide. Its sides have angle of elevation 37°. How long are the sides of the roof?

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

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Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

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Q: The angle of depression from the top of a 120 m high vertical cliff to a boat B is 16°. ....... 16°…

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Q: The angle subtended by an arc of a circle of radius 60cm is 152 degrees. What is the length of the…

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Q: 2. From the top of the cliff 350 ft. high, the angle of depression of a boat on the sea is 15°. How…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: The sides of a triangular lot measure 80m,90m,and 100m. What is the measure of the angle formed…

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

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Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

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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: A person standing 354 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 354 feet from the base of a churchThe angle of elevation to the church's steeple…

Q: As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is…

A: The objective is to find how far is the ship from the base of the Cliff

Q: The arm and blade of a windshield wiper have a total length of 34 inches. If the blade is 25 inches…

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Q: From a point on the ground 13 feet from the base of a flagpole, the angle of elevation to the top of…

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Q: From a helicopter flying at 30,000 feet, the angles of depression of two cities are 28 and 55. How…

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Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

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Q: The diameter of a wheel is 48 inches. degrees through which a point on the circumference turns when…

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Q: The angle of depression from the top of a building to the base of a car is 60∘. If the building is…

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

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Q: In the design of a new building, a doorway is 2.65 ft above the ground. A ramp for the disabled, at…

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

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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: From a 200 foot tower on the shore a man sees a ship at sea. If the angle of depression from the man…

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Q: An extension ladder, which is 65m long, rests on top of a hook-and-ladder truck. The base of the…

A:

Q: At a spot 400 feet from the base of a building the angle of elevation to the bottom of a flag pole…

A: To find height of flagpole

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

A:

Q: What’s the length of an arc intercepted by a central angle of 46o with a radius of 31.4cm?

A: The given angle is θ=46° and radius is r=31.4 cm.   Formula used: Arc length=2πrθ360

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: What is the angle of Angle A in a right triangle whose hypotenuse is 23cm and opposite side is 12cm?

A: Please see the diagram on the white board. It aptly explains the question. ABC is the triangle right…

Q: The angle of depression of a submarine from another ship is 28°. The submarine is 791 ft from the…

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

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Q: At a point 600 feet away from the base of a building, the angle of elevation to the top of the…

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

Q: The angle of depression from the top of a building, 212 meters tall, to a point on the ground is…

A: 2.1

Q: From the top of a lighthouse 96 feet high, the angle of depression to a small boat is 37.1658°. How…

A: Follow the procedure given below.

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

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Q: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

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Q: A lot is in the shape of a triangle whose two sides measure 150 m and 100 m, with the angle between…

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

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Q: The angle of elevation to the top of the building is 69 If the firefighter is 26 feet from the…

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Q: From a plane flying due east at 265 m above sea level, the angles of depression of two ships sailing…

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Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: The cross-section of a beehive reveals it is made of regular hexagons. What is the measure of each…

A: If a regular polygon has n sides then the sum of interior angles of a polygon is  Sum of interior…

Q: A person standing 164 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: Find the area of the parallelogram whose sides are 67 cm and 43 cm, the acute angle between them…

A: Using the area of parallelogram, we can find the area

Q: Find the measures of the angles of a right triangle whose legs are 22 cm and 35 cm long. Round to…

A: sum of all angles of triangle is 180 degrees

Q: For safety, the angle of a wheelchair ramo makes with the horizontal should be no more than 3.5…

A: Consider the figure given below :

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: From the top of a 228-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

A:

Q: 4) The airplane door is 19 feet off the ground and the ramp has a 31° angle of elevation. 19 ft 31…

A: Given: The airplane door is 19 feet off the ground and the ramp has a 31° angle of elevation. To…

Q: The length of a string from the center of a yo-yo to tip of Tony’s middle finger is 12 cm. If Tony…

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.