Question

score on last try: 0 of 20 pts, see details for more. at least one scored part is incorrect. jump to first changable incorrect part. > next question get a similar question you can retry this question below note: triangle may not be drawn to scale. suppose a = 8 and a = 70 degrees. find: b = c = b = enter a mathematical expression more... question help: video post to forum submit question

Explanation:

Step1: Find angle B

Since the sum of angles in a triangle is 180 degrees and one angle is 90 degrees and A = 70 degrees, then B=180 - 90 - 70.
$B = 20^{\circ}$

Step2: Find side b

Use the tangent function $\tan(A)=\frac{a}{b}$. Rearranging for b gives $b=\frac{a}{\tan(A)}$. Substitute a = 8 and A = 70 degrees.
$b=\frac{8}{\tan(70^{\circ})}\approx2.91$

Step3: Find side c

Use the sine function $\sin(A)=\frac{a}{c}$. Rearranging for c gives $c=\frac{a}{\sin(A)}$. Substitute a = 8 and A = 70 degrees.
$c=\frac{8}{\sin(70^{\circ})}\approx8.51$

Answer:

$b\approx2.91$, $c\approx8.51$, $B = 20^{\circ}$