A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the ground below with a ladder. When the knight stands 15 feet from the base of the tower and looks up at his precious damsel, the angle of elevation to her window is 60 degrees. How long does the ladder have to be?

Q: Find the missing angle. E C T 140° 450 D ZE

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Q: C = 75, a = 6, b = 7

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Q: How many miles (1 mile = 5280 feet) is the aircraft from the airport? Round the answer to the…

A: We will use concept of angle of depression.

Q: An ameteur photographer wants to set up is camera to view the sunrise coming over the mountain and…

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Q: In a movie theatre 150 feet long, the floor is sloped so there is a difference of 30 feet between…

A: Given:- In a movie theatre 150 feet long, the floor is sloped so there is a difference of 30 feet…

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

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Q: Fred was measuring the height of a building. He stood standing at some distance from the building…

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Q: Gabriel is a rock climber. He stands at the top of a cliff that is 100 feet high. He looks down at…

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Q: Solve the following problem. A 20-foot flag pole casts an 8-foot shadow. What is the shadow length…

A: Given data is : A 20-foot flag pole casts an 8-foot shadowTo find the shadow length of 30 foot…

Q: You are standing 25 feet away from a building. Given that you are 5.7 feet tall, you find the angle…

A: You are standing 25 feet away from a building. Given that you are 5.7 feet tall, you find the angle…

Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

A: It is given that,  A man lies 18 horizontal feet from the base of a wall. He must incline his eyes…

Q: Suppose from the top of the Empire State Building (which is about 1250 feet high), the angle of…

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Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: An engineer is 980 feet from the base of a fountain. The angle of elevation to the top of the column…

A: Let x be the height of the fountain. The angle of sight to the top of the fountain is 29.7 degrees.…

Q: Gabe can see the top of the fountain by looking up at an angle of 39o . If Gabe is 1.3m tall and the…

A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

Q: What is the distance from the car to the base of the building?

A: Using trigonometric ratios, we can solve the question

Q: There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A…

A: Given data: The distance between both stations is AB =50 m. The angle made by a swimmer with station…

Q: Find a if c=11 ,b=6 and angle B=39 degree

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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.