Question

I need to find the value of "q" in the equation (q/sin30) = (10.0/sin80).

Options:
A) q = 5.77
B) q = 0.5
C) q = 7.87
D) q = 3.87

Answer 1

To find the value of 'q' in the given equation, we can use the property of ratios in trigonometry and solve for 'q' step by step using cross-multiplication.

Step-by-step explanation:

To find the value of 'q' in the equation (q/sin30) = (10.0/sin80), we can simply use the property of ratios in trigonometry. In this case, both sides of the equation involve the ratios of the sine function.

First, we can simplify the equation by substituting the values of sin30 and sin80. So, the equation becomes (q/0.5) = (10.0/0.9848).

Next, we can solve for 'q' by cross-multiplying. Multiply both sides of the equation by 0.5 to get q = 10.0 * 0.5 / 0.9848.

Calculating this expression, we get q ≈ 5.77.