Question

1)Find the angle of elevation of the sun from the ground when a tree that is

14ft tall casts a shadow 16ft long. Round to the nearest degrees

Answer 1

`\theta=41.18^(\circ)`

Explanation:

Given that,

The height of the tree, h = 14 ft

The height of the shadow, b = 16 ft

We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,

`\tan\theta=(P)/(B)\\\\\tan\theta=(14)/(16)\\\\\theta=41.18^(\circ)`

So, the required angle of elevation of the sun is equal to
`41.18^(\circ)`.