Question

The answer is 139 ft provided by my teacher, I need help with the work

Answer 1

139 ft

Explanation:

Given below is the diagram of the situation

the tangent ratio fo 24 degrees gives

`\tan 24=(h)/(300)`

multiplying both sides by 300 gives

`300\cdot\tan 24=h`
`h=133.57ft`

We have to remember here that the measuring device was 5 ft above the ground; therefore,

`\text{height}=133.57+5`
`\text{height}=138.57ft`

rounding to the nearest integer gives

`\text{height}=139ft`

which is our answer!