Question

find the value of each variable using sine and cosine. round your answers to the nearest tenth.
a right-angled triangle, base labeled r, perpendicular labeled s, hypotenuse labeled 26 and angle adjacent to base is labeled 43 degrees.
$r \approx \square$
$s \approx \square$

Explanation:

Step1: Solve for $r$ using cosine

$\cos(43^\circ) = \frac{r}{26}$
$r = 26 \times \cos(43^\circ)$
$r \approx 26 \times 0.7314$
$r \approx 19.0$

Step2: Solve for $s$ using sine

$\sin(43^\circ) = \frac{s}{26}$
$s = 26 \times \sin(43^\circ)$
$s \approx 26 \times 0.6820$
$s \approx 17.7$

Answer:

$r \approx 19.0$
$s \approx 17.7$