Question

I need help with this It is from my trigonometry prep book

Answer 1

To answer this question we will use the following diagram as reference:

From the diagram, we get that, to determine h we can use the trigonometric function tangent:

`\tan 68^(\circ)=(80)/(h)\text{.}`

Solving for h, we get:

`h=\frac{80}{\text{tan}68^(\circ)}.`

Now, to determine h+x we can do an analogous procedure, therefore:

`h+x=(80)/(\tan 41^(\circ)).`

Finally, we get that:

`x=h+x-h=(80)/(\tan41^(\circ))-(80)/(\tan 68^(\circ)).`

Simplifying the above result, we get:

`x\approx59.71ft.`

Answer:

`59.71ft.`