A slide 4.1 meters long makes an angle of 35 with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?
A. 7.1 m
B. 3.4 m
C. 5.0 m
D. 2.4 m
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OpenStudy (anonymous):
OpenStudy (wolf1728):
Hello Shay :-)
OpenStudy (anonymous):
Hey wolf ! ^_^
OpenStudy (anonymous):
@hartnn is this the same kind of question ?
OpenStudy (wolf1728):
You must find x and you know the slide length and the angle
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OpenStudy (wolf1728):
I'd say this is the same kind of question
OpenStudy (anonymous):
Ok i need more practice with these anyway but before we start can someone label what is sin, con, and tan i promise I won't forget this time lol
OpenStudy (wolf1728):
Here is my trig chart
OpenStudy (wolf1728):
You can save that chart to your computer if you want.
OpenStudy (anonymous):
lol ok will do
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OpenStudy (wolf1728):
the triangles are situated differently in my chart and the diagram but I think you'll be able to figure it out.
OpenStudy (anonymous):
x is opposite ?
OpenStudy (anonymous):
we are doing sin for this problem correct ?
OpenStudy (anonymous):
4.1 is the hypotenuse
OpenStudy (wolf1728):
yes - as you can see 'x' is opposite from the 35° angle
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OpenStudy (anonymous):
yup so sin 35
OpenStudy (wolf1728):
yes it is for sine which is opposite / hypotenuse
OpenStudy (anonymous):
.574 = sin 35
OpenStudy (wolf1728):
That is correct for sine 35°
OpenStudy (anonymous):
ok so now what do i do ?
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OpenStudy (anonymous):
x/4.1
OpenStudy (wolf1728):
okay - you know we have to solve for height which is 'x'
OpenStudy (wolf1728):
and we know the slide length is 4.1
OpenStudy (wolf1728):
Do you know how 4.1 and 'x' get classified in terms of the 35° angle?
OpenStudy (anonymous):
nope
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OpenStudy (wolf1728):
Okay the 'x' relates to the35° angle in what way opp? adjacent? hypotenuse?
OpenStudy (anonymous):
opposite
OpenStudy (wolf1728):
Very good ! and the 4.1 is what part of the triangle?
OpenStudy (anonymous):
hypotenuse
OpenStudy (wolf1728):
Very good - in case you haven't been told, the hypotenuse is:
the longest side of any right triangle and is
always opposite the right triangle
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OpenStudy (anonymous):
so it's either b or d
OpenStudy (wolf1728):
Well I like to get the answer first
OpenStudy (anonymous):
ok
OpenStudy (wolf1728):
so sine 35° = opposite / hypotenuse
sine 35° = x / 4.1
OpenStudy (anonymous):
yea we know that
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OpenStudy (wolf1728):
So, can you calculate 'x' ?
OpenStudy (anonymous):
how am i supposed to do that ?
OpenStudy (wolf1728):
Okay, that's why I asked.
sine 35° = x / 4.1
Can you multiply both sides by 4.1 ?
OpenStudy (anonymous):
2.4 ! so the answer is D
OpenStudy (anonymous):
thank you so much !
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OpenStudy (wolf1728):
x = sine 35° * 4.1
x = 2.351
So I'd say 2.4 is close enough!
OpenStudy (anonymous):
great!
OpenStudy (wolf1728):
Okay - you have done well !
OpenStudy (anonymous):
thank you lol i tried
OpenStudy (wolf1728):
Is that all the questions for the moment?
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OpenStudy (anonymous):
I have 15 more to go but i won't be finishing tthem today it's 5:11 a.m here and I haven't gone to sleep so i'm pretty tired
OpenStudy (anonymous):
them*
OpenStudy (wolf1728):
Heck it is 5:11 a.m. here too (4:11 Central)
OpenStudy (anonymous):
ohh ok lol i'm so sleepy
OpenStudy (wolf1728):
Yeah guess I'll get some sleep too
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OpenStudy (anonymous):
I'm gonna try to knock out like 2 more questions and then i am going to sleep myself