Question

steak
directions: complete this task by following all steps on our attached checklist.
there is a crocodile chasing you. you have to run to the nearest tree and climb up. the angle of elevation between you and the tree is 40°. if you are 30 feet away from the base of the tree, what is the height of the tree to the nearest foot that you have to climb?

Explanation:

Step1: Define trigonometric relation

We use the tangent function: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute given values

Here, $\theta=40^\circ$, adjacent = 30 ft, opposite = height $h$.
$\tan(40^\circ) = \frac{h}{30}$

Step3: Solve for height $h$

$h = 30 \times \tan(40^\circ)$
$\tan(40^\circ) \approx 0.8391$, so $h \approx 30 \times 0.8391 = 25.173$

Step4: Round to nearest foot

$h \approx 25$ feet

Answer:

25 feet