Suppose that you are headed toward a plateau 27.8 meters high. If the angle of elevation to the top of the plateau is 26.5°, how far are you from the base of the plateau? What is your distance from the base of the plateau? meters (Round to one decimal place as needed.)

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

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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: 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: If the terminal side of angle 0 passes through a point on the unit circle in the first quadrant…

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

A:

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Given,          The ground to the top of a 45-ft tree from 65 feet away.

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: Suppose that you are headed toward a plateau 32.5 meters high. If the angle of elevation to the top…

A: Solve the following

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

Q: Find the length s of the arc of a circle of radius 63 miles subtended by the central angle radian.…

A: Use simple arc length formula.

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A:

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

A:

Q: Assuming that a 360-foot tall giant redwood grows vertically, if I walk a certain distance from the…

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: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 18 feet, what…

A: Given Truck height =4 feet Ramp length=18 feet

Q: Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of…

A:

Q: Find the length of the arc of a circle of radius 12 inches subtended by a central angle of 3pi/4…

A:

Q: The sonar of a navy ship detects a submarine that is 4000 feet from the ship. The angle between the…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 188 ft above water level to the…

A:

Q: A​ blimp, suspended in the air at a height of 600 ​feet, lies directly over a line from a sports…

A: The distance between the sports stadium is

Q: Suppose that you are headed toward a plateau 51.8 meters high. If the angle of elevation to the top…

A:

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Here, AB is the ladder.AB=65∠ABC=65° We need to find the value of AC.

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: 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: Find the exact values of the sine, cosine, and tangent of the angle 345°

A:

Q: Suppose that you are headed toward a plateau 22.8 meters high. If the angle of elevation to the top…

A:

Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12 ..... 0 = °…

A: The solution is given below:

Q: Consider the following figure: Transit 27.8° 131 ft 5.5 ft From a transit station located 5.5 ft…

A: By trigonometric Identity we solve the following problem

Q: Find the angle rounded to the nearest tenth of a degree given the trigonometric ratio  sin A =…

A: On solving ,we get

Q: In a circle of radius 60cm an arc 116cm long subtends an angle of how many​ radians? How many​…

A:

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

A:

Q: A wheel is rotating at 4 radians per second, and the wheel has a 57-inch diameter. To the nearest…

A: A wheel is rotating at 4 radians per second and the diameter of the wheel is 57 -  inches.Here, 1…

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Please follow the next step.

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

A:

Q: Express the angle as a decimal, to the nearest ten-thousandth of a degree.

A:

Q: An acute angle, 8, is in a right triangle such that sine- What is the value of cot 6?

A:

Q: What is the altitude of an airplane if the angle of depression to an airport 17 miles away is 8° ?…

A:

Q: Find the area of the sector of a circle with diameter 32 feet and an angle of 5π/6 radians.   A =…

A: To find the area of the sector of a circle with a diameter of 32 feet and an angle of 5π/6 radians.

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 the length of the arc intercepted by a central angle of (2\pi )/(5) radians to a circle radius…

A:

Q: A person 74 meters from the base of a tree, observes that the angle between the ground and the top…

A:

Q: the measure in radians of the central angle of a circle of a radius 19 that intercepts an arc of…

A: Given : radius r = 19 arc length s = 13

Q: A wheel is rotating at 5 radians/sec, and the wheel has a 83-inch diameter. To the nearest foot,…

A: Given that the diameter= 83 inch  so, radius=r=832=41.5 inch Given angular velocity=ω= 5 radians/sec…

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: 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: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

A:

Q: What is the angular speed in radians per second of a large flywheel that rotates through an angle of…

A: In 2 seconds it rotates 200 degrees So in 1 second it will rotate (200/2)=100 degree So the angular…

Q: What is the radian measure of a 300º angle

A:

Q: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

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

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.