Given a right triangle with anglea=65^circ. The cathetus opposite to angle a is barA=250 m. Find the second cathetus (barB).

snowlovelydayM 2021-09-04 Answered
Given a right triangle with \(\displaystyle\angle{a}={65}^{\circ}\). The cathetus opposite to \(\displaystyle\angle\)a is \(\displaystyle\overline{{A}}={250}\) m. Find the second cathetus \(\displaystyle{\left(\overline{{B}}\right)}\).

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Leonard Stokes
Answered 2021-09-05 Author has 17580 answers
Since it's a right triangle, use the tanget ratio:
\(\displaystyle{\tan{{\left(\angle\right)}}}=\frac{{\overline{{{o}{p}{p}}}}}{{\overline{{{a}{d}{j}}}}}\)
Substitute values from the given:
\(\displaystyle{{\tan{{65}}}^{\circ}=}\frac{{250}}{\overline{{B}}}\)
Isolate \(\displaystyle\overline{{B}}\):
\(\displaystyle\overline{{B}}=\frac{{250}}{{{\tan{{65}}}^{\circ}}}\)
\(\displaystyle\overline{{B}}\approx{116.6}\) m
Not exactly what you’re looking for?
Ask My Question
33
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-08-31
Given a right triangle with \(\displaystyle\angle{a}={23.4}^{\circ}\). The cathetus opposite to \(\displaystyle\angle{a}\) is \(\displaystyle\overline{{A}}={5.75}\) m. Find the second cathetus \(\displaystyle{\left(\overline{{B}}\right)}\).
asked 2021-09-06

Given a right triangle, where one cathetus is \(\displaystyle\overline{{A}}={11}\) m, the hypothenuse is \(\displaystyle\overline{{C}}={15}\) m, and \(\displaystyle\angle{c}={90}^{\circ}\) . Find all missing sides \(\displaystyle{\left(\overline{{B}}\right)}\) and angles \(\displaystyle{\left(\angle{a}{\quad\text{and}\quad}\angle{b}\right)}\).

asked 2021-09-09
Given a right triangle, where one cathetus is \(\displaystyle\overline{{A}}={51}\) m and the second cathetus is \(\displaystyle\overline{{B}}={39}\) m. Find the hypothenuse \(\displaystyle{\left(\overline{{C}}\right)}\) and the angle opposite to \(\displaystyle\overline{{B}}{\left(\angle{a}\right)}\)
asked 2021-09-10
Given a right triangle. One cathetus is 100cm long. Find the length of the other cathetus, if the angle opposite to it is \(\displaystyle{71.6}^{\circ}\). Round your answer to an integer.
asked 2021-09-08
Given a right triangle. The cathetuses are: 86m and 37m. Find the angle opposite to 86m cathetus.
asked 2021-09-12
Given a right triangle. anglea is \(\displaystyle{51}^{\circ}\). A line is drawn from anglec \(\displaystyle{\left({90}^{\circ}\right)}\) to the hypotenuse, creating a \(\displaystyle{7}^{\circ}\) angle between the line and the cathetus adjusted to angleb. The cathetus adjusted to angel is 47cm. Find the length of the line drawn.
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.
...