Question

Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.

The figure shows right triangle J K L with right angle L. The length of leg L J is equal to 7 point 2 units. The length of leg K L is equal to 3 units. The length of hypotenuse J K is equal to 7 point 8 units.

Answers

  1. In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.
    In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).
    In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.
    The side opposite to angle J is KL, which has a value of 3 units.
    The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.
    Thus, sin J can be calculated as:
    sin J = KL/JK = 3/7.8 = 5/13 = 0.39.
    Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.
    Learn more about trigonometric ratios at
    #SPJ1

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