Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle of elevation to the top of the tree is 33 degrees. About how tall is the tree?

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

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Q: How would you find the value of cot, sec, csc angle 300 degrees?

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Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: An air traffic controller on top of a 300-foot airport tower looks up and sees a ballon.The angle of…

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Given that, there is a triangle with angle A which is complement of 52 degree   A = 90-52 = 38…

Q: Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many…

A: Given that Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall.

Q: Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61° with the ground.…

A: It is given that the ladder is of length 26 foot and the angle form between the ladder and ground is…

Q: From the top of a lighthouse 57 feet​ high, the angle of depression to a small boat is 41.8979°. The…

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Q: Haley planted a new tree in her yard.  To help the tree to grow upright, she attached support wires…

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Q: The Tour Montparnasse in Paris is 210 m high. From his position on the street, Tom measures the…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: An inquisitive math student is standing 25 feet from the base of the Washington Monument. She…

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Q: Amari is six feet tall and measure the angle between the horizontal and a bird in the sky to be 40°.…

A: Given:   To determine: length AE

Q: A civil engineer is calculating the height of a tall tree. She stands 57 feet from the base of the…

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Q: If you stand 50 feet from the bottom of a movie screen and the screen is 80 feet tall, what is the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 45…

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Q: Olivia stands on the street and looks at the 6th floor of a building at a 50° angle of elevation.…

A: The following diagram depicts the given information in the question.

Q: park. The angle of elevation from Sara to kite in the sky is 53° and the length of the string is 32…

A: Given:Here the angle of elevation is 53°The length of the string is 32 feet.To find:How…

Q: John leans a ladder against a house to reach the bottom of a window 30 feet above the ground. As…

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

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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: solve for the missing angle, round your answer to the nearest degree

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Q: Gina is standing near a building and notices that the angle of elevation to the top of the building…

A: Let 'h' ft be the height of the building. Let the starting position of Gina be A.  She moved 78ft…

Q: From a hot-air balloon, Zoe measures a 37° angle of depression to a landmark that's 1441 feet away,…

A: Solution:-angle of depression, θ=37°angle of depression=angle of elevationhorizontal distance…

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

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Q: A telephone company is building a 30-foot antenna to carry cell phone transmissions. As shown in the…

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Q: Standing 83.1 feet from a maple tree with a height of 44.6 feet, you measure the angle of depression…

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Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

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Q: The hypotenuse of a right triangle measures 2v15 centimeters and its shorter leg measures 2V6…

A: The hypotenuse of a right triangle measures 215 cm and its shorter leg measures 26 cm. We have to…

Q: A man is standing on the ground, looking at the top of an 80-ft building. The angle of elevation is…

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Q: The captain of a ship at sea sights a lighthouse which is 240 feet tall. The captain measures the…

A: The height of the lighthouse, h = 240 ft Angle of elevation to the top of the lighthouse, θ=19° To…

Q: A person standing 388 feet from the base of a church observed the angle of elevation to the church's…

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Q: A man is 550 feet from the base of a very tall building. The building is standing on a large flat…

A: We sketch the situation roughly. Let the height of the building is = h feet

Q: A person standing at a point some distance away from the base of an antenna tower measures the angle…

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Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Draw the situation using right triangles and use trigonometric ratios.

Q: Jan measures the angle of elevation of the peak of the mountain at 35 degrees. Susan, who is 1200…

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Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

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Q: Laura is flying a kite at a local park. She let's out 60 m of her kite string,which makes an angle…

A: As we know that  Sinθ=HeightHypotenus implies that   Height=Hypotenus×sinθ

Q: Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a…

A: K is Kite ,       h is the height of Kite ,        BK = 12 ft         ∠ KBA = 45°

Q: Roberto has plans to build a tree house in a large oak tree in his backyard. He takes measurements…

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Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

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Q: A surveyor measured the angle of elevation of a flat spire as 15° from a point on horizontal ground.…

A: Let the height of the spire is the measurement of a line segment which is normal to the horizontal…

Q: A surveyor measured the angle of elevation of a flat spire as 15⁰ from a point on horizontal ground.…

A: Given data is : Angle of elevation of a flat spire as 15∘ from a point on horizontal ground. He…

Q: The angle of depression of a submarine from another ship is 28 degrees. The submarine is 791 feet…

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Q: The angle of elevation from a park bench 778 feet from the base of the Gateway Arch in St. Louis, MO…

A: This problem can simply get solved by trigonometry. Let us use following figure for reference Now…

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: for the triangle ABE, use the tan function  tan31=xy y=xtan31

Q: From a hot-air balloon, Jace measures a 31 angle of depression to a landmark that's 331 feet away,…

A: Explanation of the answer is as follows

Q: You are standing 10 feet away from a tree, and you measure the angle of elevation to be 19°. How…

A: By using trigonometric ratio and Pythagoras theorem, we calculate the height of the tree.

Q: A lighthouse keeper is in the top of a lighthouse 95 feet above sea level. She notes that the angle…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=95 BC=x C=6

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

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Q: From the observation deck of a skyscraper, Jamal measures a 51° angle of depression to a ship in the…

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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.