Homework Help: Trig

Posted by Trig on Thursday, August 27, 2009 at 7:36pm.

h t t p : / / m a t h c e n t r a l . u r e g i n a . c a / Q Q / d a t a b a s e / Q Q . 0 9 . 9 9 / a n g e l a 2 . 2 . g i f

give that picture how do I solve for

(h) I know that you you

From the diagram tan(3.5) = h/(13 + x) and tan(9) = h/x. Solve the second equation for x, substitute in the first equation, and solve for h.

i\'m just having a hard time getting a formula for h if you could show me how to do it that would be great...

thanks...

Trig - bobpursley, Thursday, August 27, 2009 at 7:43pm
http://mathcentral.uregina.ca/QQ/database/QQ.09.99/angela2.2.gif
ok,first look up tan(3.5)=.061163
so h= (13+x)*tan(3.5)

Then, tan 9 you can look that up
tan9=h/x
or h=x*tan9

setting h=h
(13+x)tan3.5=xtan9
solve for x
Finally, put that into the second equation you typed, and solve for h
h=x*tan9
Trig - Reiny, Thursday, August 27, 2009 at 7:55pm
I would solve each equation for h, and then equate the two right sides ...

form #1
h = (13+x)tan3.5
from #2
h = xtan9

then :
(13+x)tan3.5 = xtan9
13tan3.5 + xtan3.5 = xtan9
13tan3.5 = xtan9 - xtan3.5
13tan3.5 = x(tan9 - tan3.5)
x = 13tan3.5/(tan9 - tan3.5)

evaluate x and sub back into #2

or ...
in the left triangle we can find the other two angles, the one exterior to 9 would be 171, making the top angle 5.5º

Now by the Sine Law you could find the side which is the hypotenuse to the right-angled triangle (call it b)
b/sin3.5 = 13/sin5.5

once you have that hypotenuse the other two sides of the right-angled triangle are easy to find

(Go UofR)

Answer this Question

Related Questions

math - could someone please refresh my memory of the basic trig functions? ex) ...
Trig - Find (if possible) the trig function of the quadrant angle.
trig - simplify to a constant or basic trig function.. 1+tan(x)/1+cot(x)
Trig - Find all of the solutions between 0 and 2pi: 2sin(x)^2 = 2 + cos(x)
TRIG - Find one numerical value for cot x/cos x = 5
Trig - Solve the following trig equation 2cos(x-π/6)=1
trig - write a product of two trig functions that equals 1.
trig - what is the exact value of 7pi for all trig func.?
trig - find the 5 trig ratios when sin theta = -5/13 and lies in quadrant 3
trig - How do you solve cos(2arcsin 1/4) using inverse trig. functions??!! ...

For Further Reading

First Name:
School Subject:
Answer: