Question

Find the sine of angle E​

Answer 1

.........................

Answer 2

Answer:

sinE = 1/2

(which also means the angle E is 30°)

Step-by-step explanation:

sine = opposite/hypotenuse

so we first need to solve for the side opposite angle E using the pythagorean theorem

$a^{2} + b^{2} = c^{2}$

$(8\sqrt{21})^{2} + b^{2} = (16\sqrt{7})^{2}$

$64(21) + b^{2} = 256(7)$

$1344 + b^{2} = 1792$

$b^{2} = 448$

$b = \sqrt{64 * 7}$

$b = 8\sqrt{7}$

then plug into the sine formula

sine = opposite/hypotenuse

sinE = $8\sqrt{7}$ / $16\sqrt{7}$ = 1/2

(which also means the angle E is 30°)