At a certain time of day, The angle of elevation of the sun is 62 degrees. To The nearest foot, Find the height of a pole whose shadow at the time is 12 feet long.

Q: From a point 100 feet away from a cell phone tower, the angle of elevation to the top of the tower…

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Q: how far is the partner from the base of the tower, to the nearest tenth of a foot?

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Q: Suppose you know that a building has a height of 540 feet and when you stand a distance away from…

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Q: To measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of…

A: We have to find the height of stone face.

Q: measure a stone face carved on the side of a​ mountain, two sightings 650 feet from the base of the…

A: Given query is to find the height of the stone face using triangle.

Q: From the second floor of Building I, an observer estimates the angle of elevation to the top of…

A: Angle of elevation to top of building second is 75° and  the angle of depression to its base to be…

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: The measure of one interior angle of a parallelogram is twice the measure of another angle. Find the…

A: Let ABCD be a parallelogram .  In parallelogram , opposite angles are equal Consecutive angles are…

Q: To estimate the height of a tree, one person positions himself due south of a tree and the other…

A: C = position of tree A = position of one man in East B = position of one man in North AB = 82 feet…

Q: From a tower 150 feet high with the sun directly overhead, an airplane and its shadow have an angle…

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Q: helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of 20°. After…

A: Given:- A helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of…

Q: A 16 foot ladder is placed so that it makes an 80° angle with the ground. How far up the wall does…

A: Ladder is 15.8 foot high up the wall .

Q: The height of a tree that is leaning towards the sun at an angle of 150 is to be measured. A…

A: Sine law: The rule of sines is the ratio of side length to the sine of the opposite angle. It holds…

Q: As Paula looks up at the top of the monument, she finds that the angle of elevation is 20 degrees.…

A: Given:Degree=20°Monument tall=5 meterstanx=opposite sideadjacent side

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: We have to find

Q: A man and a woman standing 3.8 miles apart spot a hot air balloon in the sky between them at the…

A: Let, B=balloon M=man W=woman D=perpendicular base of the balloon   We have to find BD.

Q: The height of a radio tower is 650 ​feet and the ground on one side of the tower slopes upward at an…

A: Given       Height of radio tower 650 feet.  The tower slopes upward at an angle of 10°. The top of…

Q: The height of a tree is 70 meters. To the nearest degree, what is the angle of elevation of the sun…

A: The sides and the angles of a triangle are related by trigonometric functions. Trigonometric…

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: From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°.…

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Q: A right triangle has a hypotenuse of length 9 inches. If one angle is 35°, find the length of each…

A: Given :      A right triangle has a hypotenuse of length 9 inches. and one angle is 35 degree.

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 210…

A: It is given that the length of the string is 210 feet  and angle of the string with the ground is…

Q: If an airplane makes a 15 degree angle of elevation From the runway when it takes off the plane is…

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Q: The angle of elevation for the first hill of roller coaster is 55 degrees. If the length of the…

A: Please see the answer in Step 2

Q: The height of a radio tower is 650 feet, and the ground on one side of the tower slopes upward at an…

A: Let the angle between the tower and the slope be theta.The angle between the tower and the base is…

Q: What is the angle of elevation to the kite if a kite is 40 feet off the ground and the string…

A: Consider the diagram drawn as per the given information, here the objective is to find the angle of…

Q: when the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16 foot shadow. How…

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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: The height of a radio tower is 750 feet, and the ground on one side of the tower slopes upward at an…

A: The objective is to find the lengths of first and second guy wire.

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: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

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Q: A 51-foot wire running from the top of a tent pole to the ground makes an angle of 57° with the…

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Q: The height of a radio tower is 350 feet, and the ground on one side of the tower slopes upward at an…

A: We have to solve the given problem.

Q: A loading ramp 10 feet long that makes an angle of 18° with the horizontal is to be replaced by one…

A: According to the question , we can draw the following diagram: Let say, AC is the old ramp, which…

Q: A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached…

A: A radio transmission tower is 205 feet high . We find how long should a guy wire be if it is to be…

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

A:

Q: The height of a radio tower is 750 feet, and the ground on one side of the tower slopes upward at an…

A: The height of the tower is 750 feet. and ground on one side of the tower slopes upward at an angle…

Q: The measure of the angle 330° in standard position is given. Find two positive angles and two…

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Q: The longer diagonal of a parallelogram makes angles of 38 ̊ and 44 ̊ with the sides, and its length…

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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: 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 second floor of Building I, an observer estimates the angle of elevation to the top og…

A: Given:  From the second floor of Building I, an observer estimates the angle of elevation to the top…

Q: measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of the…

A: Let the height of the stone​ face is AB=h and the angle of elevation to the bottom of the face is…

Q: and

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Q: An airplane is one mile above sea level when it begins to rise at a constant angle of 2 ° for the…

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Q: The Gateway Arch in St. Louis is 630 feet. If a person is walking away from the Arch until the angle…

A: All this system makes a right-angle triangle whose base is to be determined. Right-angle triangle…

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: At a point of 50 feet from the base of a church, the angles of elevation to the bottom of the…

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Q: A right triangle has a hypotenuse of length 8 inches. If one angle is 34°, find the length of each…

A: sin θ=oppositehypotenusecos θ=adjacenthypotenuse Here, θ=34°, hypotenuse=8 inches

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.