Hello, 0110kim!

I took off from an airport at an angle of 18° (nearest degree).

At a horizontal distance of 1000 m away from where I take off

there is a range of hills 300 m high.

If I maintain an angle of 18°, show whether I will clear the range.

There are a number of ways to answer this question. Code:

* B
* |
* |
* | 300
* |
* θ |
* - - - - - - - - - - - *
A 1000 C

The 300-m hill is 1000 m away.

What angle is needed to clear the hill?

We have: .

Hence: .

Therefore, any angle will clear the range.

Code:

* B
* :
* :
* : h
* :
* 18° :
* - - - - - - - - - - - *
A 1000 C

The plane takes off at 18°

How high will it be 1000 m away?

We have: .

The plane will be 325 m high; it will clear the range.