Question

14 what is the height of the tree? (show all work on paper): a 32.91 b 64.45 c 41.66 d 55.01

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=35^\circ$, opposite side $=x$, adjacent side $=47$.

Step2: Rearrange to solve for $x$

$x = 47 \times \tan(35^\circ)$

Step3: Calculate the value

$\tan(35^\circ) \approx 0.7002$, so $x \approx 47 \times 0.7002$

Answer:

A. 32.91