Friday

April 18, 2014

April 18, 2014

Posted by **George** on Friday, September 20, 2013 at 9:53pm.

- Geometry -
**Jai**, Friday, September 20, 2013 at 11:43pmIt's easier if you drew the figure, but it's hard to draw figures here so I'll just describe it. :3

Note that the woman is 15 ft from the statue, and she looks up at an angle of 60° in order to see the top of statue. From here we can actually form a right triangle, with base 15 ft, the height unknown, and 60° angle between the hypotenuse and base.

Let h = height of triangle, which is also the height of statue minus the height of woman. Thus,

tan 60° = h / 15

h = 15 * tan 60°

h = 15*sqrt(3)

Therefore the total height of statue is h plus the height of woman, which is 15*sqrt(3) + 5 ft, or 30.98 ft

Hope this helps~ :3

**Related Questions**

math - A woman 5ft 6in tall stands so that the tip of her shadow coincides with ...

Geometry - A woman is standing 48 ft away from a tree. The woman casts a shadow ...

Geometry - A 5 foot tall woman stands 15ft from a statue. She must look up at an...

geometry - A 5-foot tall girl stands 15 feet from a statue. She must look at an ...

geometry - A woman who is 6-ft tall casts a 4.5-foot shadow at the same time ...

calculus - A street light is at the top of a 15 ft tall pole. A woman 6 ft tall ...

Calculus - A street light is at the top of a 19 foot tall pole. A 6 foot tall ...

calculus - A woman 5.5 ft tall walks at a rate of 6 ft/sec toward a streetlight ...

Calculus - A street light is at the top of a 17 ft tall pole. A woman 6 ft tall ...

Geometry - To find the height of a tree, a man stands at point T. His height RT...