An aireraft flies at a constant height along a straight path of 8 km above the ground. The angle of elevation from a fixed point on the ground to the aireraft is marked as x radians, which varies with time. The horizontal distance along the ground of the aircraft from the fixed point is marked as y km. The aircraft is flying at a constant speed of 500 km/h. Find the rate of change of x, in radian per hour, when x is radians ? 8 km

Q: The earth spins on its axis once every 24 hours and its radius is 3960 miles. Find the angular speed…

A: In 24 hours earth covers 2π radian.So in 1 hour earth covers 2π24=π12 radian.So the angular speed…

Q: A ferris wheel has a diameter of 24 metres. The bottom of the wheel is 2 metres above the ground.…

A: We need to derive a sine or cosine equation that describes the rotation of the wheel.

Q: Use a calculator, Table 4, or Table 5 to find each function value to four significant digits. csc…

A: To Determine :- Each function value to four significant digits by calculator. Given :- The given…

Q: Make a diagram of the unit circle with an angle e in QI and its supplement 180° - e in QII. Label…

A: I am attaching image so that you understand each and every step.

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A:

Q: Calculate tan(360°+α).

A: Given  tan360∘+α we have to find the value of tan360∘+α Now  we know that tanθ=sinθcosθ ⇒tan360∘+α…

Q: The Eiffel Tower, in Paris France, is approximately 324 meters tall. A camera is 85 meters from the…

A: The figure

Q: What is the range of the cosine function?

A:

Q: tigonometric function. hyp adj (a) --Select---v %3D opp adj (b) --Select-v opp hyp (c) --Selectv (d)…

A:

Q: A pendulum is release data point 5 meters to the right of its position at rest. Graph a cosine…

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A: Given information:…

Q: h one complete period of the equation y = 2 sin (3x) + 5

A: Given: The equation of the sinusoidal function  y = 2 sin (3x) + 5 .

Q: In whoville, the amount of rainfall varies greatly each week and follows a sinusoidal pattern. The…

A: Weekly rainfallWeekRainfall(mm)11.423.134.342.951.260.171.382.794.3103.2111.1120.2131.2142.8

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A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: On what the distance an object travels depend?

A: We know that the distance travelled by an object is given by  Distance=Speed × Time    Where…

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.