Question

label the sides and angle and calculate the missing values in the triangle:

Explanation:

Step1: Identify the known sides

Let the vertical side $a = 1.61$ and the horizontal side $b=1.98$.

Step2: Use the Pythagorean theorem to find the hypotenuse $c$

$c=\sqrt{a^{2}+b^{2}}=\sqrt{1.61^{2}+1.98^{2}}=\sqrt{2.5921 + 3.9204}=\sqrt{6.5125}\approx2.55$

Step3: Use the tangent - function to find the non - right angle $\theta$

$\tan\theta=\frac{a}{b}=\frac{1.61}{1.98}\approx0.8131$. Then $\theta=\arctan(0.8131)\approx39.1^{\circ}$

Answer:

Hypotenuse $\approx2.55$, Non - right angle $\approx39.1^{\circ}$