Question

Hi! I just wanted to double check and make sure that I worked the question correctly

Answer 1

Statement Problem: A boat on the river is 700ft from the base of a dam. The dam is 2460ft above water level. Given that someone standing on the boat stands 5ft above water level, what is the angle of elevation from the individual standing on the boat to the top of the dam? State your answer in radian rounded to 4 decimal places.

Solution:

We would represent the information in a diagram as;

Applying the trigonometry ratio for tangent, we have;

`\tan \theta=(opposite)/(adjacent)`

Thus,

`\begin{gathered} \tan \theta=(2460)/(700) \\ \theta=\tan ^(-1)(3.5143) \\ \theta=74.1161^o \end{gathered}`

Now, we would convert the angle from degrees to radians. We have;

`\begin{gathered} 74.1161^o*(\pi)/(180)\text{rad} \\ =1.2936rad \end{gathered}`