How do you find the length of hypotenuse side when only the opposite side of a right angled triangle is given?

Question

angle=38 degrees

opp=38m

thanx in advance

Answer 1

use trigonometry (sine, cosine, and tangent)
SohCahToa helps
o = opposite side
h = hypotenuse
a = adjacent side
sine (abbreviated sin) = opposite/hypotenuse
cosine (abbr. cos) = adjacent/hypotenuse
tanget (abbr. tan) = opposite/adjacent
if you know the angle, and the opposite side, use sine to figure this one out
sin38 = 38/h
h = 38/sin38
use your calculator to finish finding the hypotenuse

Answer 2

The description you gave didn't make sense... How you described it, the answer can either be cos 13=20/h or sin 13 = 20/h. Therefore, all the answers above might be correct but because your description wasn't correct it can cause some confusion. See below. You must have a Right triangle... it will not work for any triangle! You have a RIGHT triangle with 3 sides. a, b and c. c is the hypotenuse. And a and b are the legs. Call your angle given A. This is located between sides b and c so that it is opposite of side a, but is adjacent to side b. The terms Opposite and Adjacent relate to the angle. Using the description I gave, If the side is a, then you want to use sine. FORMULA: sin A = a/c (solve for c) c = a/sin A If the side is b, then use cosine. FORMULA: cos A = b/c (solve for c) c = b/cos A Hope this helps.

Answer 3

First, it's always helpful to draw a diagram, using A. B, and C as the segment points, in a situation when given angles and a right angle triangle.
Since the angle and the opp. side is given to you, all you have to do, is use your Sine law. SinA/a = SinB/b
Now since you know three pieces of information: 38 degrees, 90 degrees, and 38m, plug those into your equation.
So, it would be : Sin38/38m = Sin90/b.
Then, just rearrange the equation, to get b alone on one side.
So, it would be : b = Sin90x38m/Sin38
And, your final answer should turn out to be 61.7m.
Hope this helps!

Answer 4

From chief SOHCAHTOA

sin=opposite/hypotenuse
sin 38=38/x
x=38/sin 38=66.25°

Answer 5

52 degrees. Angles must have interior angles that add up to 180 degrees. 180-90-38=52

Answer 6

sin 38° ≈0.6157
Since the definition of sine is opposite over hypotenuse:
38 / h ≈ 0.6157 --- Multiply both sides by h (for simplicity)...
0.6157h ≈ 38 --- Divide both sides by 0.6157
h ≈ 61.72 meters

Answer 7

to get HYP, we have to use pythagoriams theorem (sqrt(OPP^2 +ADJ^2)). we have OPP but not ADJ. so to solve for OPP, we look at the relationship between OPP and ADJ which is:
tan(theta)=(OPP/ADJ)
plug in numbers
tan(38degrees)=(38m/ADJ)
.781286=38m/ADJ
multiply equation by ADJ
ADJ.781286=38m
divide equation by .781286
so
ADJ=48.64m
now we plug into pythagoriams theorem :
sqrt((38m)^2 + (48.64m)^2)
sqrt( 1444m^2 + 2365.63m^2 )
sqrt( 3809.63m^2 )
61.722

to check your answers go here:
http://www.pagetutor.com/trigcalc/trig.html

Answer 8

use sin38=opp/hyp=38/hyp
solve sin38=38/hyp
u get hyp length
good luck

Answer 9

since you know the angles, you can set up equations with
Sine, cosine, tangent etc.
also maybe have to use pythagorean theorem