An observer found the angle of elevation at the top of the tree to be 27 degrees. After moving 10 m closer, the angle of elevation becomes 54 degrees. Find the height of the tree.

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 dog looks up at a cat who has climbed a 29 foot tree. If the dog is 59 feet from the base of the…

A: The relation between the angles of a triangle and the sides of the triangle is given by the…

Q: Nico is resting on a 3m high tree house and watching the top of a pole 5m from the tree. if the…

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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: From a window, 30 ft above the street, the angle of elevation to the top of the building is 50…

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Q: The angle of elevation from the top of a 95 foot tall bullding to a hot air balloon in the sky is…

A: In triangle ABC , let . It is known that , in the triangle .

Q: A fisherman at sea observed that the angle of elevation of a cliff is 21°. What is the distance…

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Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

Q: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet…

A: Given: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132…

Q: A surveyor determines that the angle of elevation to the top of a building from a point on the…

A: To solve the problem, we need to consider that two triangles are formed depending on the distance…

Q: From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of…

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

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Q: To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of…

A: To sightings 700 feet from the base of the mountain the angle of elevation 34 degree

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: A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

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

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Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

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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…

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Q: The angle of depression of a stone on the ground from the top of a tower is 45. If the stone is at a…

A: According to problem   distance from tower and stone is 120 meters angle of depression θ=45°

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

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Q: From the top of a lighthouse 45 meters above sea level, a swimmer is observed swimming with angle of…

A: The diagram for given situation will be    whre AB=45m hieght of light houseC, position of…

Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

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

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Q: The angle of elevation from the top of a small building to the top of a nearby taller building is…

A: Given angle of elevation 46° Angle of depression 14°

Q: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A 300-foot tall monument is located in the distance. From a window in a building, a person…

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

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Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

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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: 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: If the shadow cast by a 600 feet tall tree is 1648.48 feet, find the angle (to the nearest tenth of…

A: Let AB represents the tree and BC represents the shadow, Then angle C is the angle of elevation of…

Q: to illuminate the entrance of an apartment building, a night light is mounted on a 6.6 meter tall…

A: Ans-15.376 degree,detailed solution I have uploaded ...hope you will get it...thanks

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: The angle of elevation from the top of one building to another is 26°. If the shorter building is…

A: We can use  the tangent to find this.........   tan 26°  =  (400  + h)1500     where (400 + h) is…

Q: From a point on level ground 80 feet from the base of a building, the angle of elevation is 25.6°.…

A: We have to find approximate height of the building to the nearest foot where angle of elevation is…

Q: From the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could…

A: Given:   To determine: angle of depression θ

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

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Q: To measure a stone face carved on the side of a​ mountain, two sightings 700 feet from the base of…

A:

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

Q: A forester standing 200 feet from the base of a redwood tree observes that the angle of…

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Q: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…

Q: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

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

A: