Question

A tower that is 103 feet tall casts a shadow 117 feet long. Find the angle of elevation of the sun to the

nearest degree

Answer 1

`\theta=61.68^(\circ)`

Explanation:

Given that,

The height of a tower, h = 103 feet

The height of its shadow, H = 117 feet

The height of tower is perpendicular and the height of shadow is hypotenuse of a right angled triangle. We can use trigonometry such that,

`\sin\theta=(h)/(H)\\\\\theta=\sin^(-1)((103)/(117))\\\\\theta=61.68^(\circ)`

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