Question

Solve 9/p
= cos 49°
Give your answer to 2 d.p.

Answer 1

13.72

Explanation:

You want to solve the equation 9/p = cos(49°) for the value of p.

Solution

`(9)/(p)=cos((49^\circ))\qquad\text{given}\\\\9=p\cdot cos((49^\circ))\qquad\text{multiply by $p$}\\\\(9)/(cos((49^\circ)))=p\qquad\text{divide by $cos((49^\circ))$}\\\\\boxed{p\approx13.72}`