Question

Sara and Paul are on opposite sides of a building that a telephone pole fell on. The pole is leaning away from Paul at

Answer 1

Answer:

a) See figure attached

b) $x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

c) $h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

Step-by-step explanation:

Part a

We can see the figure attached is a illustration for the problem on this case.

Part b

For this case we can use the sin law to find the value of r first like this:

$\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}$

$r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft$

Then we can use the same law in order to find the valueof x liek this:

$\frac{sin(124)}{x ft} =\frac{sin(34)}{80.086}$

$x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

And that represent the distance between Sara and Paul.

Part c

For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

$sin (59) = \frac{h}{35}$

And if we solve for h we got:

$h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft