Question

71 pointGiven a = 45, find the value of x. Round your answer to the nearest hundredths place.х41°aType your answer

Answer 1

From the given picture, we can relate sides a and x by means of the tangent function as follows:

`\tan 41=(x)/(a)`

by moving a to the left hand side, we have

`\begin{gathered} a\cdot\tan 41=x \\ or\text{ equivalently} \\ x=a\cdot\tan 41 \end{gathered}`

since a=45 and tan41=0.869, we get

`\begin{gathered} x=45*0.869 \\ x=39.118 \end{gathered}`

Then, by roundinf the nearest hundredths the answer is 39.12