In triangle ABC, angle C is a right angle. Find the measure of angle B if side b = 105 m and side c = 139 m. (Points : 1)
49°
59°
53°
47°
In the right triangle abc, c is a right angle and measure of angle b is 60° if bc is 20 inches , then long is ac?
To find the measure of angle B in a right triangle, we can use trigonometric ratios. In this case, we can use the sine ratio because we know the opposite side (side b) and the hypotenuse (side c).
The sine ratio is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Mathematically, it can be written as sin(B) = opposite/hypotenuse.
In our given triangle ABC, side b is opposite to angle B and side c is the hypotenuse. Let's substitute the given values into the sine ratio:
sin(B) = b/c
sin(B) = 105/139
Now, we can find the value of B by taking the inverse sine (or arcsine) of both sides. Make sure to use a calculator that allows you to find inverse trigonometric functions. Taking the inverse sine of both sides, we get:
B = arcsin(105/139)
Now, we can calculate this value using a calculator:
B ≈ 47.237°
Therefore, the measure of angle B is approximately 47°.