Question

1. what is the total measurement of all interior angles of a triangle? a) 45 degrees b) 360 degrees c) 180 degrees d) 90 degrees 21. tan 60 = a) 1.73 b) 3.62 c) 0.89 d) 2.78 22. sin (90) a) 1 b) 0.95 c) 0.5 d) 0.75 23. cos (48) a) 0.83 b) 0.67 c) 1.23 d) 0.54 24. in relation to the 60 degree angle, side x is: a) opposite b) hypotenuse c) adjacent

Explanation:

Step1: Recall angle - sum property of triangle

The sum of interior angles of a triangle is always 180 degrees.

Step2: Recall tangent value of 60 degrees

We know that $\tan60^{\circ}=\sqrt{3}\approx1.73$.

Step3: Recall sine value of 90 degrees

The value of $\sin90^{\circ}=1$.

Step4: Recall cosine value of 48 degrees

Using a calculator, $\cos48^{\circ}\approx0.67$.

Step5: Identify side relation in right - triangle

In a right - triangle, for an angle, the side opposite to the angle is the one that does not form the angle with the hypotenuse. For the 60 - degree angle in the given right - triangle, side $x$ is the opposite side.

Answer:

1. c) 180 degrees
2. a) 1.73
3. a) 1
4. b) 0.67
5. a) opposite