Homework Help: trig

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

Trig - a person who eyes are 5 feet above the ground observes the top of a ...
Pre-Calculus-Trig - A straight road slopes at an angle of 10 degrees with the ...
Trigonometry - 1) Two people are 3.21 miles apart and both spot a hot air ...
MATH TRIG - FROM A DISTANCE OF 80 M. THE ANGLE OF ELEVATION OF THE TOP OF A ...
Physics - you are driving up a long, inclined road. After 1.2 miles you notice ...
maths - 1 ) Lamp posts,dust bins and benches are paced at intervals of 70 m ,56 ...
trig - When the sun's angle of elevation is 30 degree the shadow of a post ...
trig - Bob is driving along a straight and level road straight toward a mountain...
trig - A road runs from the base of a mountain. From two points 235 meters apart...
trig - A road runs from the base of a mountain. From two points 235 meters apart...

For Further Reading

First Name:
School Subject:
Answer: