Question

What is the area of this triangle? (look at picture)

Answer 1

Answer:

sin = opposite / hypotenuse

$\sin(60) = \frac{x}{10} \\ \\ \frac{ \sqrt{3} }{2} = \frac{x}{10} \\ \\ 2x = 10 \sqrt{3} \\ \\ x = \frac{10 \sqrt{3} }{2} \\ \\ x = 5 \sqrt{3}$

Answer 2

Step-by-step explanation:

for x:

apply the sine rule. so

sinA/a = sinB/b

sin 90/10 = sin 60/ x

(cross multiply)

sin90 x = sin 60 × 10

x= (sin60×10)/sin90

x=8.66