Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
In a right triangle , if the hypotenuse is four times as long as the perpendicular from the opposite vertex , one of the acute angles is?
 one year ago
 one year ago
In a right triangle , if the hypotenuse is four times as long as the perpendicular from the opposite vertex , one of the acute angles is?
 one year ago
 one year ago

This Question is Closed

jhonyy9Best ResponseYou've already chosen the best response.0
can you draw it please ?
 one year ago

jhonyy9Best ResponseYou've already chosen the best response.0
indifferent just for what is your oppinion from this pic
 one year ago

heenaBest ResponseYou've already chosen the best response.0
dw:1339328315880:dw i gues its like dis
 one year ago

heenaBest ResponseYou've already chosen the best response.0
my ans is theta=cos1(1/4)
 one year ago

apoorvkBest ResponseYou've already chosen the best response.1
@heena  wrong answer. Read the question again.
 one year ago

heenaBest ResponseYou've already chosen the best response.0
i did and i dont find any prob as its saying hypotenuse is four times as long as the perpendicular means we cas asume perpendicular as x and hypotenuse as 4x
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
dw:1339328062826:dw i draw the pic u can find ab=4x^2 1 and a^2+b^2=16x^2 2 and use ab to represent x^2 at equation 2 we can have a^2+b^2=4ab devide ab two sides, that is a/b+b/a=4 we can let a/b=tanx (x could be the angle of one of two unknown angles) so tanx+1/(tanx)=4 let tanx=n so n+1/n=4, we can rewrite it as n^24n+1=0 and \[n=2\pm \sqrt{3}\] \[\tan x= 2\pm \sqrt{3}\] and u can work out the value of x that is the angle
 one year ago

Yahoo!Best ResponseYou've already chosen the best response.0
The options 60 45 30 15
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.2
The correct answer is \(15^\circ \)
 one year ago

Yahoo!Best ResponseYou've already chosen the best response.0
@FoolForMath u r correct how????? PLzz show it!
 one year ago

apoorvkBest ResponseYou've already chosen the best response.1
lol sorry!! \[tan(15^o) = 2  \sqrt3\] and the other angle will automatically be 9015 = 75 degrees.
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.2
Well, I can think of a radical free beautiful solution :)
 one year ago

Yahoo!Best ResponseYou've already chosen the best response.0
i did nt understand the method used!
 one year ago

apoorvkBest ResponseYou've already chosen the best response.1
Don't just think, share it with us. @FoolForMath _
 one year ago

Yahoo!Best ResponseYou've already chosen the best response.0
@AndrewNJ can u xplain it!
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
in my answer, the equation 1 ab=4x^2 for area of the triangle equals 0.5ab or 0.5*4x*x
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
the equation 2, a^2+b^2=4ab means Pythagorean Theorem
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
ok, dont be serious about a and b which is longer, it doesnt matter a is perpendicular to b so 0.5ab is the area of this triangle
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
and half of hypotenuse times its attitude is also the area of triangle
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
so these two part, 0.5ab and 0.5*4x*x can be equal
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
this is the first equation
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
the second is accroading to Pythagorean Theorem can u got it?
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
by the way hypotenuse is the longest side in a right triangle
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.2
dw:1339329313013:dw \[\frac{AM}{MB }= \tan \alpha \] \[ \frac{AM}{MC}=\cot \alpha \] Thus,\[MB+MC =AM(\cot \alpha +\tan \alpha) \] \[\implies BC = 4AM=2AM \frac{1}{ \sin 2 \alpha}\] \[\implies \sin 2\alpha =\frac 12 \implies \alpha = 15^\circ \]
 one year ago

Yahoo!Best ResponseYou've already chosen the best response.0
@AndrewNJ i have a doubt in ur 1 st eq a^2=4x^2 is that right?
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
my first eq is 0.5ab=4x^2 !
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
@FoolForMath yours looks cool! but i think your method could be a bit difficult
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.2
why? I think it's fairly obvious :)
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
well as far as I'm concerned, i seldom use cot sec :(
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
high school in my country didnt teach us cot sec,only taught sin cos and tan
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.2
which country is that?
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.2
I am very bad at guessing :(
 one year ago

radarBest ResponseYou've already chosen the best response.0
@AndrewNJ, I am from Missouri, the "show me" state lol, and I would like you to please show me how ab=4x^2 (equation 1 in your first post)
 one year ago

Yahoo!Best ResponseYou've already chosen the best response.0
i also want it @AndrewNJ
 one year ago

AndrewNJBest ResponseYou've already chosen the best response.2
for 0.5ab is the area of triangle and 0.5*4x*x is also the area of triangle so 0.5ab=0.5*4x*x divide 0.5 in two sides is ab=4x^2
 one year ago

radarBest ResponseYou've already chosen the best response.0
Thanks, you had already shown that, just that, I was being to dense to see it. Thanks again
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.