Question

by first finding tan θ, calculate the size of angle θ. give your answer to the nearest degree. not drawn accurately 6 cm 13 cm watch video zoom calculator allowed bookwork code: 5d

Explanation:

Step1: Recall tangent formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side to angle $\theta$ is $13$ cm and the adjacent side is $6$ cm. So, $\tan\theta=\frac{13}{6}$.

Step2: Calculate $\theta$

We know that $\theta = \arctan(\frac{13}{6})$. Using a calculator, $\theta=\arctan(\frac{13}{6})\approx65.22^{\circ}$. Rounding to the nearest degree, $\theta\approx65^{\circ}$.

Answer:

$65^{\circ}$