A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21 degrees to look at the top of the wall. What is the distance from the man directly to the top of the wall?

Q: A passenger lift runs 680 ft up the side of a mountain from the base to an exit station. If the…

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Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings…

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Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: A 12-foot ladder leans against a building and reaches a window 10 feet above ground. What is the…

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE BELOW.

Q: A ranger in a 95 ft tower looks down at an angle of depression of 49 and spots a camper in trouble.…

A:

Q: The height of a radio tower is 450 ​feet and the ground on one side of the tower slopes upward at an…

A:

Q: Find the angle of depression of a plane after reaching a height of 203m if its horizontal distance…

A: We have to find the angle of depression of a plane after reaching a height of 203m if its horizontal…

Q: A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top…

A: Answer (59): Consider, the distance from the head of the boy to the top of the building is x m.…

Q: A 90-foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the…

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Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: On one side of a paved path walk is a pedestal with a flagstaff on top of it. The pedestal is 2m in…

A:

Q: A boy flying his kite releases the entire length of his string which measures 21 m, so that the kite…

A:

Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the…

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau…

Q: A force of 745 pounds just keeps a 4100 - pound vehicle from rolling down a hill. To the nearest…

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Q: The height of a radio tower is 800ft, adn the ground on one side of the tower sloped upward at an…

A:

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

A:

Q: Suppose that you are headed toward a plateau 21 meters high. If the angle of elevation to the top of…

A: Let’s analyse the given information pictorially.

Q: A 6-foot-tall worker stands 40 feet away from a crumbling tower. The angle of elevation to the top…

A:

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: sin theta=opposite/hypotenuse

Q: Two man who are 475 m apart, find the angles of elevation of a kite between them are 28° and 42°,…

A: Given, two-man are 475 m apart, the angle of elevation of a kite between them are 28 and 42…

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

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Q: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

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Q: a bird is sitting in the top of a tree that is 21 feet tall looking down at a worm on the ground…

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Q: Suppose you are headed toward a plateau 68 m high. If the angle of elevation to the top of the…

A: Given : The height of a plateau is 68 m

Q: A 45 inch wood plank leans against the side of a building so that the angle between the ground and…

A: Topic = Trigonometric ratios  44.83 inches high the wood plank reach up to the side of the building.…

Q: A loading ramp is 18 meters long with a height of 7 meters. What iš the angle

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Q: Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will…

A:

Q: What is the angle of elevation of the top of the pole 10m high from an observer who is 10m away from…

A:

Q: A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground.…

A:

Q: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

A: ANSWER IS AS FOLLOWS:

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A: Consider a point A on the flag pole such that point B and A are at the same level from the ground.…

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

A:

Q: From a point on level ground 120 feet from the base of a tower, the angle of elevation is 48.3°.…

A: Definition used -             trigonometric ratio -             In a right angle triangle -…

Q: What is the angle of depression from the start of a 6-foot-high access ramp that ends at a point 40…

A: Given Data: The height of the ramp is: y=6 ft The distance between endpoints along the ground is:…

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

A:

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: We will use formula of sin(x) to solve this.

Q: A ladder 20 feet long leans against a building, forming an angle 71 degrees with the level ground.…

A:

Q: The height of a radio tower is 680 feet, and the ground on one side of the tower slopes upward at an…

A: We have to find the length of wire.

Q: A 100 ft. ladder rests on top of a hook and ladder truck with its base 11 feet from the ground. When…

A: We know that the trigonometric ratios :  sin(x) = opposite /hypotenuse .

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: A woman is standing on the ground at a point 78ft from the base of a building. The angle of…

A: We have given that woman standing o the ground at a point 78 ft from the base of the bulding.Angle…

Q: A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 79°.…

A: SinB = opposite side / hypotenuse.

Q: The angle of elevation from the top of a 95 foot tall bulding to a hot alr balloon In the sky is 76.…

A:

Q: A 32ft ladder leans against a building so that the angle between the ground and the ladder is 81…

A:

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 81∘.…

A:

Q: A 38 ft ladder leans against a building so that the angle between the ground and ladder is 82. How…

A: Given: A 38 ft ladder leans against a building so that the angle between the ground and ladder is 82…

Q: Suppose you are headed toward a plateau 47 m high. If the angle of elevation to the top of the…

A:

Q: an airplane door is 19 feet off the ground and the ramp has a 31 degree angle of elevation. what is…

A: given,

Q: Jaden is flying a kite and lets off 275 feet of string. If the kite is 150 feet above ground and…

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: 3. Joey has already released 180 m of string while flying a kite. Suddenly, his kite got stuck on a…

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.