Question

A right triangle has a cathetus of 75m, which is opposite to the anfle of 40'. Find the adjustent cathetus to the 40' angle.

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-10
A right triangle has a cathetus of 75m, which is opposite to the anfle of 40'. Find the adjustent cathetus to the 40' angle.

Expert Answers (1)

2021-09-11
\(\displaystyle{40}'=\frac{{40}}{{60}^{\circ}}\)
\(\displaystyle=\frac{{2}}{{3}^{\circ}}\)
Use the tangent ratio:
\(\displaystyle{\tan{\angle}}=\frac{{{o}{p}{p}}}{{{a}{d}{j}}}\)
Let the adj. side be x. Substitute the given:
\(\displaystyle{{\tan{{\left(\frac{{2}}{{3}}\right)}}}^{\circ}=}\frac{{75}}{{x}}\)
\(\displaystyle{x}=\frac{{75}}{{{\tan{{\left(\frac{{2}}{{3}}\right)}}}^{\circ}}}\)
\(\displaystyle{x}\approx{6445.5}{m}\)
4
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours
...