Question

Help. Determine the unknown values, R and W, in the figure below.

Answer 1

Answer:

W = 28.63

R = 15.59

Step-by-step explanation:

From the right triangle given in the picture,

By applying sine rule in the triangle,

sin(57°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

            = $\frac{24}{W}$

W = $\frac{24}{\text{sin}(57)}$

W = 28.63

Similarly, by tangent rule,

tan(57)° = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

1.54 = $\frac{24}{R}$

R = $\frac{24}{1.54}$

R = 15.59