Question

In a right triangle, the measure of theta = 43 degrees and the side opposite to the measure of theta is 6.5 cm long. The length of the side adjacent to the measure of theta is approximately

Answer 1

We have been given that in a right triangle, the measure of $\theta = 43^{\circ}$ and the side opposite to the measure of theta is 6.5 cm long. We are asked to find the length of adjacent side to the angle theta.

We know that tangent relates opposite side of right triangle adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(43^{\circ})=\frac{6.5}{\text{Adjacent}}$

$\text{Adjacent}=\frac{6.5}{\text{tan}(43^{\circ})}$

$\text{Adjacent}=\frac{6.5}{0.932515086138}$

$\text{Adjacent}=6.9703966$

$\text{Adjacent}\approx 6.97$

Therefore, the length of adjacent side to angle theta is approximately 6.97 units.