Question

The length of the hypotenuse, line segment ac, in right triangle abc is 25 cm. the length of line segment bc is 15 cm. which is the approximate measure of angle acb? 31.0° 36.9° 53.1° 59.0°

Answer 1

The approximate measure of angle acb in right triangle abc in which the length of the hypotenuse, line segment ac is 25 cm is 53.1 degrees.

What is right angle triangle property?

In a right angle triangle, ratio of the adjacent side to the hypotenuse side is equal to the cosine angle between them.

$\cos\theta=\dfrac{b}{c}$

Here, (a) is the adjacent side, (c) is the hypotenuse side and θ is the angle made between them.

The right triangle abc is given, in which,

• The length of the hypotenuse, line segment ac, in right triangle abc is 25 cm.
• The length of line segment bc is 15 cm.

According to the right angle triangle property,

$\cos(acb)=\dfrac{bc}{ac}\\\cos(acb)=\dfrac{15}{25}\\\angle acb=\cos^{-1}(0.6)\\\angle acb=53.1^o$

Hence, the approximate measure of angle acb in right triangle abc in which the length of the hypotenuse, line segment ac is 25 cm is 53.1 degrees.

Learn more about the right angle triangle property here;

brainly.com/question/22790996

Answer 2

Answer:

53.1 degrees.

Step-by-step explanation: