Question

A ramp makes an angle of 60 degrees with the ground. If I walk up 200 metres on the ramp, at what height from the ground will I reach?

Answer 1

Since 200 metres is travelled along the ramp,

Hypotenuse =200

Angle given = 60 degree

Therefore applying trigonometry,

sine x = Hypotenuse/height [Formula]

sin 60 = 200/h

Therefore, h=(sqrt(3)/2)*200=173.2 metres.

Answer 2

The height of the ground is $173.2m$

Step-by-step explanation:

Given,

A ramp makes an angle of $60°$ with the ground and walk up $200m$ on the ramp.

As for given data,

Ground look like a triangle.

Where,

$Hypotenuse =200m$

And,

By using trigonometry,

$sin(60)=\frac{h}{H}$ where $h=height$ and $H=Hypotenuse$

⇒$h=200\times \frac{\sqrt{3} }{2}$

∴ $h=173.2m$

So, The height of the ground is $173.2m$