A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a sighting of the top of the cliff. If the angle of elevation is found to be 25°, how far offshore is the boat?

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: The angle of elevation of a pedestrian crosswalk over a busy highway is 9.34°​,as shown in the…

A: The solution is:

Q: At a point 200 feet from the base of a building, the angle of elevation to the bottom of a…

A:

Q: An observer is 120 ft from the base of a television tower, which is 150 ft tall. Find the angle of…

A: Given query is to find the angle of elevation.

Q: A pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

A:

Q: Consider a clock with an hour hand and a minute hand. What is the measure of the angle the minute…

A:

Q: A fisherman at sea observed that the angle of elevation of a cliff is 21°. What is the distance…

A:

Q: A surveyor wishing to find the height of a lighthouse measures the angle A at a point 120 ft. from…

A: Let the height of the light of the lighthouse is h. See the picture below

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

Q: An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

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 campsite is 8.51 miles from a point directly below the mountain top. If the angle of elevation is…

A:

Q: Find the angle between 0 radians and 2n radians that is coterminal to the given angle. 41n radians…

A: The given angle is: 41π9  radians

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: An engineer designs a 90-foot cellular telephone tower. Find the angle of elevation to the top of…

A:

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

A:

Q: The radian measure of an angle of 22 degrees is?

A:

Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

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

A: After a hurricane, a homeowner examines trees and thinks a 21-ft palm tree is leaning slightly from…

Q: Determine value of angle a to the nearest tenth of a degree

A: Given that  sin α=13 in the interval π2<α<π cos β=-13in the interval π<β<3π2

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

Q: What is meant by an angle of one radian?

A: To define  angle of one radian

Q: The angle of elevation to the top of a Building in New York is found to be 5 degrees from the ground…

A: From the given information, Angle of elevation of a Building from ground, θ=50 Distance from the…

Q: If a loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 20 feet long,…

A:

Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

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: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 20 feet, what…

A:

Q: The angle between 0 and 2π in radians that is coterminal with the angle 53π/12 radians is

A:

Q: The angle of elevation from an observer to the top of achurch is 0.3 radian, while the angle of…

A: Firstly Change radian to degree       0.3 radian =17.1887°0.4 radian =22.9183° According to…

Q: At 1 1 o'clock the hands of a clock form an angle of___?

A: We know that the circle makes an angle of 360 degree.

Q: The radian measure of an angle of 60 degrees is

A: It is conversion of degree into radian.

Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

Q: The angle of elevation to the top of a Building in New York is found to be 3 degrees from the ground…

A: Consider the below figure

Q: The shadow of a red-pine tree in Northern Minnesota is 131 feet long when the angle of depression…

A: Given: The red-pine tree AB with its shadow BC = 131 ft. The angle of depression is 31o.

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A:

Q: A person standing on the street looks up to the top of a building and finds the angle of elevation…

A: Given that the person is standing near the building

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: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

A: Anglee of elevstion = 9°Distance of base ana point of observation = 1 mile = 5280 feetIt will make a…

Q: What is the radian measure of a 270° angle? What is the degree measure of a 5p>4-rad angle?

A: Given: Angle 270° and 5π4 radian.

Q: A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a…

A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

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 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

Q: The angle between 0 and 27 in radians that is coterminal with the angle 41п 5 radians is

A: We can find the answer in the following steps.

Q: 1. A 20-foot ladder leans against a wall so tha the base of the ladder is 8 feet from the base of…

A: Given :- Length of ladder=20 ftBase of ladder is 8 ft from the base of building .We have to find…

Q: What is the supplement of an angle with a measure of 12 radians? If it does not have a supplement,…

A:

Q: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

A:

Q: In a circle with a radius of 10 inches, an arc is intercepted by a central angle of 2 radians. What…

A: Given radius 10 inches Centre angle = 2 radian

Q: The radian measure of an angle of 334 degrees is

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.