Question

use a calculator to find the length of each side to four decimal places.
a =

b =

notice the right triangle gives the measure of an angle and the length of the leg opposite it. what trigonome hypotenuse? is the calculator set in degree or radian mode?
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determine length of right triangle side
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Explanation:

Step1: Find angle B

In a right - triangle, the sum of the two non - right angles is 90°. So, $B=90^{\circ}-62^{\circ}=28^{\circ}$.

Step2: Find side a using tangent function

We know that $\tan62^{\circ}=\frac{a}{13}$. Then $a = 13\times\tan62^{\circ}$. Using a calculator in degree mode, $a=13\times1.880726 = 24.449438\approx24.4494$.

Step3: Find side b using cosine function

We know that $\cos62^{\circ}=\frac{b}{13}$. Then $b = 13\times\cos62^{\circ}$. Using a calculator in degree mode, $b=13\times0.469472=6.103136\approx6.1031$.

Answer:

$a\approx24.4494$, $b\approx6.1031$