Question

geometry help

Answer 1

\[\frac{ h1 }{ 880 }=\tan 8,h1=880\tan~8\approx123.676~ft \]
\[\frac{ h2 }{ 880 }=\tan 20,h2=880 \tan ~20 \approx 320.294\]
total height=123.676+320.294=443.970 ft \approx 444 ft

Answer 2

Let's call the height of the Burnett building "h". Then we can use trigonometry to solve for h.

First, let's draw a diagram:

```
x
/\
/ \
/ \
/ \
/ \
/ \
/ \
h /__8°__________\
Marina Towers Burnett building
20°
```

We can see that the angle between the ground and the line connecting Joe's eye to the base of the Burnett building is 20 degrees. We can also see that the angle between the line connecting Joe's eye to the top of the Burnett building and the line connecting Joe's eye to the base of the Burnett building is 8 degrees. We can use these angles to set up two trigonometric equations:

```
tan(20°) = x/h
tan(8°) = (x+880)/h
```

We want to solve for h, so let's rearrange the equations:

```
h*tan(20°) = x
h*tan(8°) = x+880
```

Now we can eliminate x by setting the two equations equal to each other:

```
h*tan(20°) = h*tan(8°) + 880
h*(tan(20°) - tan(8°)) = 880
h = 880/(tan(20°) - tan(8°))
```

Using a calculator, we find that h is approximately 505 feet. Therefore, the Burnett building is approximately 505 feet tall.