Answer: measure of the angle indicated to the nearest degree = 57 degrees
Explanation:
From the figure shown, the angle is a right angled triangle.
The length of hypotenuse = 43
The length of the opposite side = 36
Let # be the measure of the indicated angle
Sine # = opposite/ hypotenuse
Cos #= adjacent/ hypotenuse
Tan # = opposite/ adjacent.
Here,we have hypotenuse =43 and opposite = 36
Sine # = 36/43= 0.834
To get # degrees, we find the sine inverse of of 0.834
# = Sin^-1 (0.834)
= 57 degrees
The measure of the angle indicated to the nearest degree = 57 degrees