GoldenLeaf

Just take CPhill's ending equation and tweak it a bit.

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{12.5}}^\circ\right)} = {\frac{{\mathtt{4}}}{{\mathtt{x}}}}$$

To isolate 'x' is a bit tricky. First, you have to multiply the '4/x' by 'x' and do the same to the other side.

$${x}{\left(\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{12.5}}^\circ\right)}\right)} = {\mathtt{4}}$$

Now divide both sides by tan(12.5)

$${\mathtt{x}} = {\frac{{\mathtt{4}}}{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{12.5}}^\circ\right)}}}$$

Solve.

$${\frac{{\mathtt{4}}}{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{12.5}}^\circ\right)}}} = {\mathtt{18.042\: \!834\: \!014\: \!643\: \!337\: \!4}}$$

The basketball player is now approx 18.04 feet from the center of the rim.

Formula for circumference: C = πd

Thus, to find the radius, remove 'π' and divide 'd' by 2.

r = 74 m

Now, use tangent function to find the height.

tan(24.6) = opp/74

74(tan(24.6)) = opp

$${\mathtt{74}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{24.6}}^\circ\right)} = {\mathtt{33.879\: \!845\: \!202\: \!742}}$$

The height of the fountain is 33.88 metres.

CPhill, stahp pls. You're being a sneaky ninja again *.*

Ahh, I shall experiment. For science!!! (Oh wait...)

I had my avatar as a unicorn, but I didn't lose 24 points.

$${\frac{{\mathtt{16.99}}}{{\mathtt{735\,000\,000}}}} = {\frac{{\mathtt{x}}}{{\mathtt{7\,000\,000\,000}}}}$$

$$\mathrm{\ }$$ $${\mathtt{735\,000\,000}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{7\,000\,000\,000}}$$

$${\frac{{\mathtt{7\,000\,000\,000}}}{{\mathtt{735\,000\,000}}}} = {\frac{{\mathtt{200}}}{{\mathtt{21}}}} = {\mathtt{9.523\: \!809\: \!523\: \!809\: \!523\: \!8}}$$

9.5238095238095238 is the number the 735,000,000 was multiplied by to get 7,000,000,000. Thus, to equal out, you would multiply 16.99 by 9.5238095238095238

$${\mathtt{16.99}}{\mathtt{\,\times\,}}{\mathtt{9.523\: \!809\: \!523\: \!809\: \!523\: \!8}} = {\frac{{\mathtt{3\,398}}}{{\mathtt{21}}}} = {\mathtt{161.809\: \!523\: \!809\: \!523\: \!809\: \!4}}$$

It would cost £161.81

I can't believe you would post something like that.

Old enough to know how to access this website and type up this question.

This answer puts me in the top answerers!

$${\sqrt{{\mathtt{\infty}}}}$$

The root of infinity is infinity, because infinity is... well... infinite.