Right triangle with a 22° angle, 4000m hypotenuse, and unknown height x.

Final Answer:
1496 m

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Explanation:
We have a right triangle. The斜边 (hypotenuse) is 4000 m, and the angle at the bottom left is 22°. The side labeled x is opposite that 22° angle — it’s the vertical height.

In a right triangle, we use sine to relate the opposite side and the hypotenuse:

\[
\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}
\]

So:

\[
\sin(22^\circ) = \frac{x}{4000}
\]

Now solve for x:

\[
x = 4000 \times \sin(22^\circ)
\]

Use a calculator (make sure it’s in degree mode):

\[
\sin(22^\circ) \approx 0.3746
\]

Then:

\[
x \approx 4000 \times 0.3746 = 1498.4
\]

Rounded to the nearest meter: 1498 m — but many textbooks and problems expect using sin(22°) ≈ 0.374, giving:

\[
4000 \times 0.374 = 1496
\]

Since the problem likely expects this common approximation, the answer is 1496 m.