What is the angle your line of sight makes with a horizontal line looking up at an object?

Q: 1. A tree cast 15-meter shadow where the angle of elevation of the sun is 35°. How tall is the tree?…

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Q: There is lightning rod on the top of a building. From a location 500 feet from the base of the buil-…

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Q: A 14 ft. ladder leans against the side of a house. The bottom of the ladder is 5 ft. away from the…

A: We use Trigonometry ratios

Q: The angle of elevation of the top of  a tower at a distance of 120 m  froma a point on the ground is…

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Q: An aerial photographer who photographs real estate properties has determined that the best photo is…

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Q: The tangent of an angle satisifies tan(θ ) = 10. 1. Which quadrant could θ  lie in? Explain how you…

A: Topic:- trigonometry

Q: A 20-foot ladder is leaning against a wall. The foot of the ladder makes an angle of 58° with the…

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Q: Finding the Length of an Arc of a CircleFind the length of the arc of a circle of radius 2 meters…

A: Given: Radius of circle =2 m Central angle = 0.25 radian. To find the length of arc

Q: Point T is at the top of a mountain. From a point P on the ground, the angle of elevation of T is…

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Q: An access ramp from a sidewalk to a restaurant door rises 3.2 feet over a horizontal distance of 30…

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Q: A security camera in a neighborhood bank is mounted on a camera pole 9 feet above the floor. The…

A: Given a securiy camera in a neighborhood bank is mounted on a camera pole 9 feet above the floor

Q: A ladder that is 30 feet long leans against the side of a house. The angle of elevation of the…

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Q: 1. What trigonometric ratio can we use to solve for the height of a building given the the distance…

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Q: Please help!

A: Let the position of person be M and height of statue is AB, It is given MC=50 mAngle of elevation is…

Q: angle of depression from Platform A to Platform B to the nearest tenth.

A: Given: Kara is zip - lining in the forest . She is standing at the top of Platform A ready to zip -…

Q: The Eiffel Tower is located in Paris. The angle of elevation to the top of the Eiffel Tower is 50°…

A: Given angle of elevation to the top of Eiffel Tower and distance from ground from the base of Tower

Q: A right triangle has one leg that measures 13 feet and another that measures 15 feet. Use sine,…

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Q: A straight road rises with an inclination of 0.15 radian from the horizontal. Find theslope of the…

A: Given: A straight road rises with an inclination of 0.15 radian from the horizontal. The slope is…

Q: A 40-m high tower stands vertically on a hill side (sloping ground) which makes an angle of 18…

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Q: the angle between an observer's line of sight and a horizontal line Find the angle of depression of…

A: 1) To write the angle between observer's line of sight and horizontal line

Q: A ladder placed against a wall such that it reaches the top of the wall of height 6 m and the ladder…

A: Introduction :Given ,Then we have asked to calculate the length BC.

Q: An airplane climbs at an angle of 12 degrees with the ground. Find the horizontal distance it has…

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Q: A vertical extension is to be constructed on top of a building situated on level ground. The angle…

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Q: A ladder that is 10 feet long leans against the side of a house. The angle of elevation of the…

A: Given  A ladder that is 10 feet long leans against the side of a house. And The angle of elevation…

Q: g to estimate the height of a mountain above a level plain. From one point on the plain, they…

A: It is given that From one point on the plain, A survey team observes the angle of elevation to the…

Q: The angle of elevation from a viewer to the top of a flagpole is 50°. The viewer is 80 ft away and…

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Q: A ramp 27 ft long rises to a platform. The bottom of the platform is 12 ft from the foot ramp. Find…

A: We have to find the angle of elevation of the ramp nereast tenth of a degree.

Q: A helicopter is hovering 500 feet over point Q on an island. The pilot sights point P on the coast…

A: To find the distance between Point Q to P

Q: A helicopter is hovering over a landing pad 98 meters from there you are standing. The helicopter's…

A: The distance between the landing pad and you, d = 98 m The angle of elevation of the helicopter with…

Q: You are walking alone a straight level path toward a mountain. At one point the angle of elevation…

A: Given:- You are walking alone a straight level path toward a mountain. At one point the angle of…

Q: A ladder placed against a wall such that it reaches the top of the wall of height 6 m and the ladder…

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Q: - The angle of elevation to the top of a house is found to be 38 degrees from the ground at a…

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Q: A 15 ft ladder leans against the side of a house. The bottom of the ladder is 8 ft away from the…

A: Here the ladder- ground- wall constitutes a right angled triangle. So to find angle of elevation of…

Q: A ladder placed against a wall such that it reaches the top of the wall of height 6 m and the ladder…

A: Answer :2√3 m

Q: Vertical Wall Ladder of length 10 ft Ladder sliding away from wall at 2 ft/s speed Floor away from…

A: In ∆ABC we use the trigonometry ratio tan θ tan θ=PBtan θ=xh…

Q: A 15 meter pole is leaning against a wall. The foot of the pole is 4.3 meters from the wall. Find…

A: The given question is based on Some Applications of Trigonometry which leads to giving the inter…

Q: 1. Angle in the first quadrant has a sine of What is the tangent of this angle? √2 (HINT: Use…

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Q: a 12 ft ladder leans against the side of a house the top of the ladder is 10 ft off the ground find…

A: A 12 ft ladder leans against the side of a house the top of the ladder is 10 ft off the ground. The…

Q: The angle of elevation to the top of a building changes from 20° to 40° as an observer advances 150…

A: Given : The angle of elevation to the top of a building changes from 20∘  to 40∘ as an observer…

Q: Two trees are standing on the ground. The angle of elevation of the top of both the trees from a…

A: Distance between two trees

Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

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Q: 9. One end of a foot ruler is placed against a vertical wall; the other end of the ruler reaches a…

A: As shown in figure, let AB is foot ruler, AB=12 inch Ruler is placed against vertical wall and its…

Q: An airplane is flying a constant altitude of 100m above the ground. At that instant, it was recorded…

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Q: From point P on the ground, the angle of elevation of an airplane is 23°. The altitude of the plane…

A: Q 6   Given that:   A point “P” on the ground, the angle of elevation of an airplane is 23 degree…

Q: Angle Between Cities Los Angeles and New York City are approximately miles apart on the surface of…

A: Please see the diagram below:

Q: A funicular carries passengers up an embankment to an observation point. If the length of the track…

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Q: When an angle is drawn in standard position, we say the angle is in a particular quadrant when its…

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Q: A ladder that is 30 feet long leans against the side of a house. The angle of elevation of the…

A: Solution of the problem as follows

Q: A building is locates at the end of a street that is inclined at angle of 8° with the horizontal. At…

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Q: A ladder placed against a wall such that it reaches the top of the wall of height 10 m and the…

A: Given a  ladder placed against a wall such that it reaches the top of the wall of height 10 m and…

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.