Saturday

December 20, 2014

December 20, 2014

Posted by **Ruth** on Saturday, September 14, 2013 at 10:47am.

- Algebra -
**Swaastikaa**, Saturday, September 14, 2013 at 11:17amHi Ruth,this is easy!

Imagine a right angle triangle. In this case, the length of the hypothenuse is 12'.Given the angle of elevation 68 degrees. Since it is a right angle triangle,one of the remaining two angles is 90 degrees. So the third angle is 180-90-68 = 22 degrees.

Now we know the angles and we know the length of hypothenuse is 12'. We need to find the distance of ladder's base to the wall. Since two angles and a length is known, we have to use sine formula:

a / sin A = b / sin B

Let a = 12' therefore sin A is sin 90 degrees since it is opposite to the hypothenuse. Let b be the distance needed to be found. So sin B is sin 22 degrees since it is opposite to b.

The answer is b = 4.5'

- Algebra -
**Steve**, Saturday, September 14, 2013 at 2:47pmor, using this equation

x/12 = cos 68° = 0.374

x = 4.46

- Algebra -
**Swaastikaa**, Sunday, September 15, 2013 at 1:15pmThe answer is the same anyway :)

**Answer this Question**

**Related Questions**

trig - a 30 foot ladder leans against a wall at a 71 degree angle of elevztion ...

math - A ladder is 13.0m long. It leans against the wall. The base of the ladder...

Geometry - The angle of elevation of a ladder leaning against a wall is 45°. If...

Math Algebra - A 10 foot ladder is to be placed against the wall, the base of ...

Maths - A ladder of length 6 m leans against a vertical wall so that the base of...

algebra - A ladder is resting against a wall. The top of the ladder touches the ...

Pre-Calculus - A ladder leans leans against a building that has a wall slanting ...

geom/trig - A 40 ft ladder leans against a wall so the base of the ladder is 11 ...

algebra - a 17-foot ladder leans against a wall. if the ladder is 8 feet from ...

Math - A 5 feet long ladder leans against a wall and makes an angle of 65 ...