Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of the plateau is 10°, how far are you from the base of the plateau? What is your distance from the base of the plateau? |meters (Round to two decimal places as needed.)

Q: Find the length of the arc of a circle of diameter 10 meters subtended by a central angle of π5…

A:

Q: An object is traveling around a circle with a radius of 4 feet. If in 10 seconds a central angle of…

A: Given radius of circle is 4 feet and a central angle of 1/3 radian is swept in 10 seconds. Hence…

Q: Suppose that it takes a point 72 seconds to travel around a circle once. How long will it take the…

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Q: What is the size of the smallest angle coterminal with an angle of 1000t radians?

A: Recall the fact that ∠A and ∠B are called co terminal angles if their difference will be an integral…

Q: An object is traveling around a circle with a radius of 13 meters. If in 10 seconds a central angle…

A: Given,           An object is travelling around a circle with a radius of 13 meters. If in…

Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: a camera is mounted at a point 4500 ft. From the base of a rocket launching pad. Assuming the rocket…

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Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: The area of the sector of a circle with radius 8 inches formed by a central angle of 100° is inches.…

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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: Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of…

A: Given, The height of plateau = 50 m The angle of elevation = 20o

Q: Find the length of the arc of a circle of diameter 10 meters subtended by a central angle of π/4…

A: Given is the diameter of circle as 10 m, central angle is π4 radians. It is required to find the…

Q: Find the coordinates of a point on a circle with radius 5 corresponding to an angle of 120° (х, у) -…

A:

Q: 8. Suppose that a point on the ground is 50 feet from the base of a tree. If the angle of elevation…

A: Explanation and solutions is given below....

Q: A loading ramp is 21 meters long with a height of 6 meters. What is the angle of incline that the…

A: Explanation of the answer is as follows

Q: Find three angles coterminal with an angle of 1 radian.

A: We have to find three angles coterminal with an angle of 1 radian.

Q: A woman is watching a launched rocket currently 13 miles in altitude. If she is standing 3 miles…

A: The given information ( Rocket altitude = 13 miles and women standing at 3 miles from the launchpad…

Q: An object is traveling around a circle with a radius of 10 centimeters. If in 20 seconds a central…

A:

Q: An airplane climbs at an angle of 15 degrees with the ground . What is the ground distance it has…

A:

Q: Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of -…

A: Given Diameter (d) = 14 m And central angle (θ) =3π/4 radians

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

A:

Q: an airplane is heading north at an airspeed of 600 KM/HR, but there is a wind blowing from the south…

A: Consider the vector graph:

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

A:

Q: A person in a hot air balloon is looking down with an angle of depression of 36 degrees at their car…

A: The given system makes a right-angle triangle system, hence triangle properties help to find the…

Q: A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75°…

A: Draw a schematic diagram of the given question. Given data, Length of ladder, AC = 33 ft Angle…

Q: A 28-ft ladder leans against a building so that the angle between the ground and the ladder is 79°.…

A: As per given question question  We have find heights of Building

Q: The length of the arc intercepted by a central angle of 5 radians in a circle of radius 75 is   The…

A:

Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 105° (х, у)…

A: topic - coordinates of a point

Q: An object is traveling around a circle with a radius of 9 inches. If in 50 seconds a central angle…

A: To determine: The linear and angular speeed of the given object. Given: Radius = 9 inch Time = 50…

Q: In terms of the tangent of a positive acute angle, what is the expression for tan(7π/8)?

A: In the question it is asked to write acute angle expression for tan(7π8).

Q: than

A:

Q: (i) the greatest angle of elevation of the top of the lighthouse from a point on the line AC,…

A: Trigonometric functions of an angle are equal to the ratios of the corresponding sides of the…

Q: An object is traveling around a circle with a radius of 6 centimeters.  If in 20 seconds a central…

A:

Q: A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 78°.…

A: Topic-hight & distance

Q: A 15 meter pole is leaning against a wall. The foot of the pole is 4.3 meters from the wall. Find…

A: The given question is based on Some Applications of Trigonometry which leads to giving the inter…

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

A:

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

A:

Q: An object is traveling around a circle with a radius of 12 feet. If in 20 seconds a central angle of…

A:

Q: Suppose that you are headed toward a plateau 27.8 meters high. If the angle of elevation to the top…

A: given that height of plateau 27.8 m and angle of elevation to the top of plateau is 26.5 degree.…

Q: A tree 5 m tall casts a shadow 8 m long. To the nearest degree, the angleof elevation of the sun is…

A: Length of tree is = 5 m length of shadow of tree = 8 m we have to find angle of elevation of the sun

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

A:

Q: Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of -…

A: Given diameter = 14m central angle = π3 we have to find the length of arc

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 62°.…

A: Given: Length of the ladder is, l=31 ft. Angle between ladder and the ground is, θ=62°. The…

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

A:

Q: A building is locates at the end of a street that is inclined at angle of 8° with the horizontal. At…

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Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 61°.…

A:

Q: Determine the length of the arc in the radian measure and the measure of the angle in radian and…

A:

Q: Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the…

A: given is you person  are headed toward a plateau 40 m high and the angle of elevation to the top of…

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.