10) In ΔRST, the measure of angle S is 142°. the length of line RS is 10. Find the length of the altitude from vertex R.
ΔRST is not one an only:(
I'm from Beijing China.
This is a complex problem - one which scientists have pondered over for years. I have recently discovered the truth, the solution to the problem.
As I was playing football with acquantinces, I realized that the ball I was playing with, was in fact a spherical shape. I delved further into this discovery and realized that it was a 360 degree shape. I took this one step furhter and realized that the same concept applied to all shapes and that the sum of all angles in a triangle is 180 degrees. So back to your problem:
180/3 and R is 142 that means that the sum of ST is 180-142.
So S is the square root of the altitude of the vertex of the squared root of the sum.
Evident as it now may be, I will spell it out to you. The answer is 16.
Professor Adam Eugene Cornvy III. At the University of Oxbridge.
I tried to make a diagram of the triangle in the problem. The altitude from vertex R lies outside the triangle!
Let the altitude from vertext R meet ST at point P.
Angle RSP 180 - Angle RST = 180 - 142= 38 degrees
Sin (Angle RSP) = PR/RS
Sin 38 = PR/RS,
we know RS = 10
Therefore, PR = 10 sin 38 = 10(0.61566)=6.1566
It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.