find the distance from point b to point a. enter as a decimal rounded to the nearest tenth. 34° 608 m ba = ? m

Explanation:

Step1: Identify the trig - ratio

In right - triangle ABC with right - angle at B, we know the adjacent side (BC = 608 m) to the angle ∠C = 34° and we want to find the opposite side (AB). We use the tangent function since $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. $\tan C=\frac{AB}{BC}$

Step2: Substitute the values

Given C = 34° and BC = 608 m, we have $\tan(34^{\circ})=\frac{AB}{608}$. $AB = 608\times\tan(34^{\circ})$

Step3: Calculate the value

We know that $\tan(34^{\circ})\approx0.6745$. Then $AB = 608\times0.6745=410.196$.

Step4: Round the answer

Rounding 410.196 to the nearest tenth gives 410.2.

Answer:

410.2