2. From the top of a 100 foot building a man observes a car moving toward the building. If the angle of depression of the car changes from 22° to 46° during the period of observation, how far does the car 22° 46° 100 travel?

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: A 20-ft-tall light post casts a 25-ft shadow along level ground. What is the angle of elevation of…

A: A 20-ft-tall light post casts a 25-ft shadow along level ground.

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

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

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

A:

Q: 1.At 8 o'clock ,what is the angle between the hour hand and minute hand of the clock?

A:

Q: The measure in radians of the central angle of a circle of radius 41 that intercepts an arc of…

A: let  θ be the central angle  s be  the intercepted arc length and  r is the radius of circle  the…

Q: 1. A 12-m high post casts a 19-meter shadow. Find the angle of elevation to the sun.

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: 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: If the angle of elevation of a cloud from a point P, h meters above a lake is a and the angle of…

A: As per the let us assume that P is the point which is at H meters distance from the lake, The cloud…

Q: 17 Use a half-angle formula to find the exact value of sec 12

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: A helicopter takes off, and travels forward at an angle of 65.1°above horizontal. After following…

A:

Q: Give the answer to the trig function and the quadrant where the angle terminates. tan 300° = %3D

A:

Q: Use a calculator to approximate the degree measure (to 1 decimal place) of the angle 0 subject to…

A:

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

A:

Q: consider an angle that measures 5pi/4 radians. sketch the standard position

A: For the given angle  5π4 standard position of the angle is sketched as shown below

Q: What is the exact radian measure of an angle measuring p degrees?

A: To define the exact radian measure of an angle measuring p degrees.

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: Find the value of the angleθ in degrees rounded to the nearest tenth of a degree.

A: Given-  To Find- The value of the angle θ in degrees rounded to the nearest tenth of a degree.

Q: 1. From the top of a 25 m tower, you have observed a stop sign that is 10 m away from the base of…

A: Height of the tower=25m Distance of stop sign from the base=10 m

Q: What is the meaning of “an angle with measure 2 radians”?

A: Our Aim is to tell the meaning of "an angle with measure 2 radians".

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 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: The angle between 0 and 27 in radians that is coterminal with the angle 14 5 Tin radians is

A:

Q: A building 210 feet tall casts a 50 feet shadow. If a person looks down from the top of the…

A:

Q: A building that is 240 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

A:

Q: With the sun at a certain altitude, it is noticed that a tower casts a shadow 110 feet long at the…

A:

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: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

Q: 2. What is the reference angle of 100 radians? What quadrant is it in?

A:

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

A:

Q: The terminal side of angle θ in standard position lands in quadrant IV. If cos(θ)=12/13, find…

A: The terminal side of an angle θ in standard position lands in quadrant IV. cosθ = 1213

Q: Find the angle with measure between 0 radians and 2π radians that is coterminal to the angle with…

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: Use a calculator to approximate the degree measure (to 1 decimal place) of the angle 0 subject to…

A:

Q: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

Q: Identify the quadrant in which the terminal side of the angle must lie under the following…

A: Given : sinθ > 0 and cotθ < 0

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

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: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

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: Find the smallest positive angle θ in the third quadrant for which tan(θ) = 1. θ =_______°

A:

Q: 7. Determine the measure of an angle in Quadrant 3 which would have the same sine value as 185°

A: We can use this formula to find the measure of the angle in third quadrant, sin y = -sin(y-180),…

Q: What is the radian measure of an angle of 230º?

A: We have to calculate Radian Measure of an angle of 230°

Q: A poll tilts towards the sun at an 8 degree angle from the vertical at it casts a 22ft. shadow. The…

A: Given:  A poll tilts towards the sun at an 8-degree angle from the vertical at it casts a 22ft.…

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

A:

Q: How far from the door must a ramp begin in order to rise three feet with an 8° angle of elevation?

A: Note To Student : Thanks for posting your queries. But problem 6 can not be solved without some…

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.