which is the best approximation for the measure of angle abc? 27.7° 31.7° 58.3° 62.3°
which is the best approximation for the measure of angle abc? 27.7° 31.7° 58.3° 62.3°
Answer
Explanation:
Step1: Identify the trig - function
In right - triangle ABC, we know the adjacent side to angle ABC is 10.5 cm and the hypotenuse is 20 cm. We use the cosine function, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. So, $\cos(x)=\frac{10.5}{20}$.
Step2: Calculate the angle
We have $\cos(x)=\frac{10.5}{20}=0.525$. Then, $x = \cos^{-1}(0.525)$. Using a calculator, $x\approx58.3^{\circ}$.
Answer:
$58.3^{\circ}$