Question

Question #5fcee

Answer 1

The tree is 11.5m tall and distance from tip to shadow is 33.5m

Explanation:

See diagram of this array:

We know that the shadow is 29m long, and an angle in the triangle - `30^@`

Think about soh cah toa - which suits here?

We're trying to find the height, which in this case is the opposite side of the triangle. So we'll use toa.

`tan(30)="O"/29`
`"O"=11.547`

So the tree is 11.5 metres tall

Now for the distance from tip of tree to end of shadow (hypotenuse of our triangle).

Use cosine (cah)

`cos(30)=29/"H"`
`29/cos(30) = "H"`
`"H"=33.486`

So distance is 33.5 metres.