Question

Triangle L M N is shown. Angle N L M is a right angle. The length of N L is 19.1 inches and the length of L M is 14.1 inches. Angle L N M is x and angle N M L is y.
What is the approximate value of y − x?

4.9°
6.2°
11.1°
17.2°

Answer 1

Answer:

It's 17.2

Step-by-step explanation:

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Answer 2

The approximate value of y − x is given as  17 degrees.

What is a right angle triangle?

A right angle triangle is one in which one of the angles is 90 degrees.  Given that we could obtain the value of y from;

tan^-1 (19.1/14.1)

= 53.56 degrees

We know that;

x + y = 90 (complementary angles)

x = 90 - 53.6

x = 36.44 degrees

Hence;

y − x = 53.56 degrees - 36.44 degrees

= 17.12 degrees

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