In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 46° 30'. A second person standing 37.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 41° 10'. How far is the person at A from the base of the antenna?

Q: After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm…

A: A homeowner examines trees on his property for damage. A 20 foot palm tree is leaning slightly from…

Q: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

A:

Q: A radio tower is located 275 ft from a building. from a window in the building, a person determines…

A:

Q: A boy is 1.5 m tall standing 12 m away from a church building which has a tower on top of its roof.…

A: We are given that a boy is 1.5 m tall standing 12 m away from a church building that has a tower on…

Q: A rectangular box has length 14 inches, width 15 inches, and a height of 11 inches. Find the angle…

A:

Q: A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. 32 - 25 ft – If the…

A: Solution: The objective is to find the height of the tree

Q: Find the exact values of the sine, cosine, and tangent of the angle 15°

A: Find the exact values of the sine, cosine, and tangent of the angle 15°

Q: At a point 45 feet from the base of a church, the angles of elevation to the bottom of the steeple…

A:

Q: In a circle of radius 5 miles, the lengths of the arc that subtends a central angle of 6 radians is…

A: We have:    Radius of the circle(r) = 5 miles.     Central angle = 6 radians.  Thus, θ = 6 radian.…

Q: A rocket is fired from the ground at some angle and travels in a straight path. When the rocket has…

A:

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

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

Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

A:

Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

A:

Q: Given the altitude from vertex A in the triangle, use trigonometry to find the height of the…

A:

Q: A sailor wants to anchor his sailboat 30 m from a lighthouse that is 12 m tall. Determine the angle…

A: We have to find angle of elavation

Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

A:

Q: Use the law of sines to find the measure of the indicated angle

A:

Q: A civil engineer is calculating the height of a tall tree. She stands 57 feet from the base of the…

A:

Q: At a point on the ground 54.0m from the foot of a tree, the angle of elevation to the top of the…

A: Given:

Q: 7) Find the height of a building that projects a shadow of 350 ft on the ground, if the angle of…

A: The height of the building that projects a shadow of 350 ft on the ground  and the angle of…

Q: Solve for the requested value. Sketch the triangle, label the sides, then proceed to find the x as…

A:

Q: c. What is sin()? Which angles, measured degrees, would have the same sine as sin()?

A: topic - angles

Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

Q: Find the angle 0 between 0 radians and 2T radians that is coterminal with the angle (a) - radians.…

A: Due to our guidelines we can only answer one question at a time, therefore I will be answering first…

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Let x be the distance between Kurt and base of the pole. Now the diagrammatic representation of the…

Q: A forest ranger stood at a point that formed a 20° angle with the top of a tree and the ground, as…

A:

Q: To find the height of a tree, a person walks to a point 30 feet from the base of the tree and…

A: Let height of tree be ABNow in triangle ABCtan 57 = PerpendicularBasetan 57 = ABACAB = 30 tan 57AB =…

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: The angle between 0 and 2T in radians that is coterminal 26 ·T in radians is 9. with the angle |

A:

Q: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 89.4 ft,…

A: Given:-  b= 89.4 ft, angle B = 72°, and c = 36.3 ft. To find:- Angle C

Q: The angle between 0 and 2T in radians that is coterminal 55 T in radians is 8 with the angle

A:

Q: An observer at the top of a 532 foot cliff measures the angle of depression from the top of the…

A:

Q: Use a reference triangle to find the given angle. 1 - 1 sin

A:

Q: a man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: A tree in Daniel's yard died and he's worried it might fall and hit the house if left alone. He…

A: SOLUTION-

Q: In a circle of radius 2, the length of the arc that subtends a central angle of 222 degrees…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the…

A: We have to find the angle x.

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: A rectangular box has length 5 inches, width 18 inches, and a height of 13 inches. Find the angle…

A:

Q: The diagram below shows the path a bird flies from the top of a 9.5-foot-tall sunflower to a point…

A: Consider the diagram

Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: A 16 foot ladder is used to scale a 14.5 foot wall. At what angle of elevation must the ladder be…

A: Please see the answer below.

Q: At a point 40 feet from the base of a church, the angles of elevation to the bottom of the steeple…

A:

Q: The angle between 0 and 2T in radians that is coterminal with the angle T in radians is 2

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 151 ft above water level to the…

A:

Q: ind the angle 0, in radians, in the given right triangle. The length of the side adjacent to 0 is 16…

A: Topic = Triangle

Q: In the figure, a person standing at point A notices that the angle of elevation to the top of the…

A: 1°=60'Therefore, 48°30'=48.5°44°10'=44.167°

Q: The angle between 0 and 2T in radians that is coterminal 62 T in radians is 9 with the angle

A: To get coterminal angles, we have to add or subtract 2π.

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.