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

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

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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.