Question

Find the length of the long leg of a right triangle with short leg = 8 and the larger angle = 67degrees.Round to the nearest whole number.

Answer 1

the answer (rounded up) is 19.

the trigonometric function that relate us the two legs and an angle of a right triangle is tangent

$\tan (\theta)=\frac{opposite\text{ side}}{adyacent\text{ side}}$

we know the measure of the short leg, and the angle that forms the short leg with the hypotenu