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mishek said:Hi,
Can somebody please point me into a direction how to solve the attached trig problem?
First step, where can I find such values for sin (alpha)?Thanks.
On the right side they give the logarithms (to base 10) of the values.mishek said:Hi Mentallic,
Thanks for a quick reply.
I know I can use a calculator :), but I would like to know how to solve it in a manner that is given on a photo.
There must be some tables that I should use (i assume), but i don't know which one.
Also, the value of c in step II, where did that come from?
It depends on how much accuracy you want. You can just google search "sine table" and you'll find plenty of tables that offer each degree from 0 to 90, but assuming you want more accuracy since you're given angles that involves minutes and seconds too, in the case of [itex]\alpha[/itex] personally, I'd be satisfied with approximating [itex]\alpha = 32^o40'15''[/itex] into [itex]\alpha \approx 32\frac{2}{3}^o[/itex] and just calculate [itex]\frac{1}{3}\sin(32^o)+\frac{2}{3}\sin(33^o)[/itex]. If this doesn't make sense for you, then have a look at linear interpolation: https://en.wikipedia.org/wiki/Mathematical_tablemishek said:Hi Mentallic,
Thanks for a quick reply.
I know I can use a calculator :), but I would like to know how to solve it in a manner that is given on a photo.
There must be some tables that I should use (i assume), but i don't know which one.
I have no idea. The values in those boxes don't coincide with what the given values of c and alpha at the top were. I wouldn't dwell too heavily on it though since you can quite easily re-do that entire page for yourself with the correct values.mishek said:Also, the value of c in step II, where did that come from?
Samy_A said:On the right side they give the logarithms (to base 10) of the values.
For example ##\log_{10}(c)=\log_{10}(457)=2.65992...##
Samy_A said:On the right side they give the logarithms (to base 10) of the values.
For example ##\log_{10}(c)=\log_{10}(457)=2.65992...##
That's how we solved this kind of problems when I was in high school many many years ago, just before calculators became ubiquitous.mishek said:Hi Samy_A, big thanks for the reply!
When I catch some time, i'll go in that direction and try to solve it myself.
But i am wondering, why use logarithms?
A right triangle is a triangle with one angle measuring exactly 90 degrees.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
To find the missing side of a right triangle, you can use the Pythagorean theorem or trigonometric ratios (sine, cosine, and tangent) depending on the information given.
The trigonometric ratios are sine, cosine, and tangent. They are used to find the relationship between the sides and angles of a right triangle.
The unit circle is a circle with a radius of 1 unit. It is used to visualize the values of trigonometric functions for any angle.