Question

A 70-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters from the base. What angle does the cable form with the ground? round measure of the angle to the nearest degree

Answer 1

Given: The statement in the question

To Determine: The angle the cable form with the ground

Solution

The statement can be represented using the diagram below

Using trigonometry ratio

`\begin{gathered} tan\theta=(70m)/(30m) \\ tan\theta=2.333 \\ \theta=tan^(-1)(2.333) \\ \theta=66.8^0 \\ \theta\approx67^0 \end{gathered}`

Hence, the angle the cable makes with the ground approximately to the nearest degree is 67⁰