Question

1. a man is standing on the ground the base of a tree. the angle of is 59°. how tall is the tree? 30 ft h ft 59°

Explanation:

Step1: Identify trigonometric ratio

We use $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$, where $\theta=59^\circ$, opposite side = $h$, adjacent side = 30 ft.

Step2: Substitute values into formula

$\tan(59^\circ) = \frac{h}{30}$

Step3: Solve for $h$

$h = 30 \times \tan(59^\circ)$
Using $\tan(59^\circ) \approx 1.6643$, calculate:
$h \approx 30 \times 1.6643$

Answer:

Approximately 49.93 feet (or 50 feet when rounded to the nearest whole number)