I need to find the value of "q" in q/sin30 = 10.0/sin80

q ≈ 5.1

Step-by-step explanation:

Given

= ( cross- multiply )

q × sin80° = 10 × sin30° ( divide both sides by sin80° )

q = ≈ 5.1 ( to 1 dec. place )

the equivalent expression are always the hardest ones but you look at the gcf also

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).