A ramp leading to a building has an incline of 4.5°. The length of the ramp is 50 m. How high is the ramp and what is the horizontal length?
and if you can also help with this one as well
b)Solve the following triangle, given ÐX = 90°, y = 2.5 cm and z = 8.3 cm
2006-10-17 06:23:44 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The batteries in my calculator are dead, so I can't help with the answer. But here's how to do it.
The length of the ramp is the hypotenuse of the triangle. The height of the ramp is opposite the angle. So set up your equation as sin 4.5 = x/50 because sin = oppposite side/hypotenuse.
Once you find that answer you can use Pythagorean theorem or cos 4.5 = y/50 to find the third side.
2)tan y = 2.5/8.3
Find the answer and do inverse tangent to find the angle
Then subtract your answer from 90 degrees to find angle z
2006-10-17 06:35:29 · answer #1 · answered by PatsyBee 4 · 0⤊ 0⤋
Back in junior high my math teacher taught me a little phrase that i still use today for trig (now a TA for a 3rd year engineering math course). its pretty simple... Soh-Cah-Toa. Say it out loud a couple times... enjoy the mystique that it offers.
Now on to your question. Draw a triangle with a right angle and label what you know. The side that doesn't touch the 90 degree angle is called the hypotenuse (50m). Put your 4.5 degree angle in the lower corner. The side that is very close to the angle is called the adjacent side. The other side is called the opposite side.
So what do we know? and what are we looking for? we know the angle, and the hypotenuse. we are looking for the opposite and adjacent. Lets find the adjacent first.
so we have the H, looking for the A... back to soh-cah-toa... a and h are found in "cah" so that means we want to use cosine (because cah starts with c), Soooo.... cos(4.5) = a/h
similarly, when we want to find opposite we use sin(4.5) = o/h
since both of those formulas only have one unknown, you can go ahead and solve them.
Hope you never have trouble with trig again.
2006-10-17 13:40:08 · answer #2 · answered by Gart888 2 · 0⤊ 0⤋
You have a right triangle
You know the hypotenuse is 50m
You know the angle between the base and hypotenuse (4.5 degrees)
sin 4.5 = hight / 50
now you can solve
cos 4.5 = x / horizontal length
2006-10-17 13:33:32 · answer #3 · answered by DanE 7 · 0⤊ 0⤋
It always helps to draw a picture of the word problems
x= length of ramp
sin4.5=x/50
x=50sin4.5
x=4 m tall
Use a^2+b^2=c^2
(2.5)^2+(8.3)^2=75.14
x= the square root of 75.14
x=8.7 cm
2006-10-17 13:36:29 · answer #4 · answered by scheerbarbara 1 · 0⤊ 0⤋
It is a tangent stuff.
y=height=50msin4.5=
x=horizontal length=50mcos4.5=
2006-10-17 13:36:52 · answer #5 · answered by chanljkk 7 · 0⤊ 0⤋