Question

1. solve for ∠θ. round to 1 decimal place.

Explanation:

Step1: Use tangent function

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side to $\theta$ is $7.1$ and the adjacent side is $4.3$. So, $\tan\theta=\frac{7.1}{4.3}$.

Step2: Calculate $\theta$

$\theta = \arctan(\frac{7.1}{4.3})$. Using a calculator, $\frac{7.1}{4.3}\approx1.65116$. Then $\theta=\arctan(1.65116)$. $\theta\approx58.8^{\circ}$ (rounded to 1 decimal place).

Answer:

$58.8^{\circ}$