An airplane climbs at an angle of 12 degrees with the ground. Find the horizontal distance it has traveled once it has reached an altitude of 500 feet. Round your answer to the nearest tenth.

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 geologist wants to measure the diameter of a crater. From her camp, it is 5 miles to the…

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Q: The angle of elevation from a ship in the ocean to an airplane overhead is 25°. If the horizontal…

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Q: The town of Sofia Germain has a smokestack that is 160 feet high. A guy wire must be fastened to the…

A: Given the height of a smokestack is 160 feet. And a guy wire must be fastened to the smokestack 45…

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Q: A kite is flying at an angle of elevation of 67° with the ground. If 100 feet of string have been…

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Q: An observer at the top of a skyscraper sights a tour bus at an angle of depression of 61 degrees.…

A: Answer

Q: If you stand 35 feet from the bottom of a movie screen and the screen is 75 feet tall, what is the…

A: If you stand 35 feet from the bottom of a movie screen. The screen is 75 feet tall its make a…

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

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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: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

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Q: The angle of elevation from a viewer to the top of a flagpole is 50°. If the viewer is 40 feet away…

A: Solution: In ∆ABCtan 50°  =ABBC⇒ tan 50×40 = h                   h = 47.67                   h =…

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: A plane rises from take-off and flies at an angle of 10° with the horizontal runway. When it has…

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Q: A 30-foot ladder leans against the side of a barn. Find how high up the side of the barn the ladder…

A: Given that A 30-foot ladder leans against the side of a barn. And the angle the ladder makes with…

Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

Q: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

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Q: Find the measure of the indicated angle to the nearest degree.

A:

Q: A kite flies at a height of 35 feet when 60 feet of string is out.If the string is in a straight…

A: We have, a kite flies at a height of 35 feet when 60 feet of string is out and the string is in a…

Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of 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: The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the…

A: Given that, Height of the door way from the ground is 3.45 ft. and the ramp to the door is at an…

Q: A kite flies at a height of 30 feet when 65 feet of string is out. If the string is in a straight…

A: Given: A kite flies at a height of 30 feet when 65 feet of string is out. The figure gives the clear…

Q: The proper angle for a ladder is about 75 from the ground. Suppose you have a 15 foot ladder. How…

A: we have a 15 foot ladder which is attached to a wall at a angle of 75°

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

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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: A ladder leaning against the wall makes an angle of 74 with the ground. If the foot of the ladder is…

A: Since, a ladder is leaning against the waall making an angle of 74° withthe ground.Alos, we have…

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall…

A:

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

A:

Q: At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°.…

A: Consider the given information. Make the graph from the given information.

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A: Given that angle of elevation to a nearby tree from a point on the ground is 47° and the tree is 67…

Q: An observer at the top of a skyscraper sights a tour bus at an angle of depression of 61 degrees.…

A:

Q: The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff…

A: The given image is

Q: From the top of a light-house at a height 20 meters above sea level, the angle of depression of a…

A: Use trigonometric ratio, tan(theta) = Perpendicular/Base Note that, side opposite to the angle is…

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

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 man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

Q: A hot-air balloon is flying at an altitude of 2975 feet. If the angle of depression from the pilot…

A:

Q: A smokestack is 190 feet high. A guy wire must be fastened to the stack 30 feet from the top. The…

A: Given, Height of smokestack = 190 feet  Guy wire is fastened to the stack 30 feet from the top  Guy…

Q: If you stand 100 feet from the gym, how tall would it be if the angle of elevation feet to the top…

A: Lets assume that the gym is x feet tall . Drawing the Diagram as per  the Question , Let OA…

Q: Find the measure of the indicated angle to the nearest degree

A:

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: 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 hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

A: Given that a hot-air balloon is floating above a striaght road angles of depression are 21° and 23°…

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

A:

Q: How far would you have to be from the base of the object to get an angle of elevation of 20 degrees?…

A: