Question

1. what is the height of the building? image of a building with a right triangle labeled with 62 degrees, 18 m, and x for height options: 37.1 m, 33.9 m, 34.5 m, 36.8 m

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=62^\circ$, opposite side = $x$, adjacent side = $18\ \text{m}$.

Step2: Rearrange to solve for $x$

$x = 18 \times \tan(62^\circ)$

Step3: Calculate the value

$\tan(62^\circ) \approx 1.8807$, so $x \approx 18 \times 1.8807 = 33.8526$

Answer:

33.9 m