Question

label the sides and angle and calculate the missing values in the triangle:
a=
θ=39.1°
o=1.96
h=3.11

Explanation:

Step1: Use Pythagorean theorem

In a right - triangle, \(H^{2}=O^{2}+A^{2}\), where \(H\) is the hypotenuse, \(O\) is the opposite side and \(A\) is the adjacent side.
So, \(A=\sqrt{H^{2}-O^{2}}\)
Substitute \(H = 3.11\) and \(O=1.96\) into the formula:
\(A=\sqrt{3.11^{2}-1.96^{2}}\)
First, calculate \(3.11^{2}=9.6721\) and \(1.96^{2}=3.8416\)
Then \(H^{2}-O^{2}=9.6721 - 3.8416=5.8305\)
\(A=\sqrt{5.8305}\approx2.41\)

Answer:

\(A = 2.41\)