Question

Instructions: Find the measure of the indicated angle to the nearest degree

Answer 1

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

$cos\ x = \frac{base}{hypotenuse}\\cos\ x = \frac{26}{32}\\cos\ x = 0.8125\\x = cos^{-1}\ (0.8125)\\x = 35.65$

Rounding off to nearest degree, the angle is: 36°

Hence,

The required indicated angle is: 36°