Answer:
The required indicated angle is: 36°
Step-by-step explanation:
Given triangle is a right-angled triangle so we can use trigonometric ratios to find the indicated angle.
In the given triangle,
Hypotenuse = 32
Base = 26
As we know only base and hypotenuse, we will use a trigonometric ratio which involves base an hypotenuse.
Let x be the angle
then
[tex]cos\ x = \frac{base}{hypotenuse}\\cos\ x = \frac{26}{32}\\cos\ x = 0.8125\\x = cos^{-1}\ (0.8125)\\x = 35.65[/tex]
Rounding off to nearest degree, the angle is: 36°
Hence,
The required indicated angle is: 36°
