Answer:
About 14.58 ft
Step-by-step explanation:
We have an angle, the side opposite that angle, and the hypotenuse of that triangle. If you remember SOH CAH TOA, the right trig ratio for this problem is sine. In this case, [tex]\sin{49^{\circ}=\frac{11}{x}[/tex]. We want to solve for x, so we can multiply both sides by x to get [tex]x\sin{49^{\circ}}=11[/tex] and then divide both sides by [tex]\sin{49^{\circ}}[/tex] to get [tex]x=\frac{11}{\sin{49^{\circ}}} \approx 14.58[/tex]
So, the top of the lamppost is about 14.58 ft from the tip of its shadow
