Question

I want to know what is the answer to this?

Answer 1

Answer:

x = 1.5$\sqrt{14}$

Step-by-step explanation:

since the triangle is right we can use the trig. ratio sine to solve

sin 45° = $\frac{opposite}{hypotenuse}$ = $\frac{1.5\sqrt{7} }{x}$

multiply both sides by x

x sin45° = 1.5$\sqrt{7}$

using sin45° = $\frac{1}{\sqrt{2} }$, then

x ×$\frac{1}{\sqrt{2} }$ = 1.5$\sqrt{7}$

multiply both sides by $\sqrt{2}$

x = 1.5$\sqrt{7}$ ×$\sqrt{2}$ = 1.5$\sqrt{14}$