Posted by **Fiona** on Saturday, October 16, 2010 at 4:00pm.

a hedgehog wishes to cross a road without being run over. he observes the angle of elevation of a lamp post on the other side of the road to be 27 degrees from the edge of the road and 15 degrees from a point 10m back from the raod. How wide is the road??

- trig -
**Alicia**, Saturday, October 16, 2010 at 4:03pm
405 I THINK I *'S 15 BY 27 AND GOT 405. NOW THAT IVE HELPED YOU WITH TRIG CAN YOU HELP ME WITH INTRODUCTORY ALGEBRA

- trig -
**Henry**, Sunday, October 17, 2010 at 10:59pm
2 rt. triangles are formed. The ver

side(y) is common to both triangles.

x = hor side of smaller triangle = Width of the RD.

(x + 10) = hor side of larger triangle

tan27 = y/x,

Eq1. y = x*tan27.

tan15 = y / (x + 10),

Eq2. y = (10 + x)tan15.

Substitute Eq1 for y in Eq2:

x*tan27 = (x + 10)*tan15,

x*tan27 = x*tan15 + 10*tan15,

x*tan27 - x*tan15 = 10*tan15,

0.5095x - 0.2679x = 2.679,

0.2416x = 2.679,

X = 2.679 / 0.2416 = 11.1 m. = Width of RD.

## Answer this Question

## Related Questions

- Pre-Calculus-Trig - A straight road slopes at an angle of 10 degrees with the ...
- Trig - A straight road slopes upward 14 degrees from the horizontal. A vertical ...
- calculus - A straight road makes an angle, A of 12 degrees. When the angle of ...
- science physics - A chicken decides to cross a road. The road is perfectly ...
- trig - On an inclined road, which makes an angle of 25 degrees with the ...
- trig - This a problem I need help with. A vertical ple stands by a road that is ...
- trig - A road has a 10% grade (slope). To the nearest degree what is the angle ...
- trig - A road has a 10% grade (slope). To the nearest degree what is the angle ...
- Physics - A car goes around a curve on a road that is banked at an angle of 33.5...
- Physics - A car goes around a curve on a road that is banked at an angle of 30 ...

More Related Questions