Question

How far are you to the nearest foot from the base of the tree.Question 15

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given details

STEP 2: Write the ratio of the sides

`\begin{gathered} \tan\theta=(opposite)/(adjacent) \\ opposite=27ft \\ adjacent=base=? \\ By\text{ substitution,} \\ tan\theta=(27)/(x) \end{gathered}`

It is also given that:

`\tan\theta=(3)/(7)`

By comparison of the two ratios, we have:

`(27)/(x)=(3)/(7)`

STEP 3: Solve for x

Cross multiply

`\begin{gathered} 27*7=3x \\ x=(27*7)/(3)=9*7=63ft \end{gathered}`

Hence, the answer is 63 feet