Question

Confusion...help please

Answer 1

Given:

In triangle KLM, KL = 123 cm and measure of angle K is 35 degrees.

To find:

The length of the side KM to the nearest tenth of a centimeter.

Solution:

In a right angle triangle,

$\cos \theta =\dfrac{Base}{Hypotenuse}$

In the given right triangle KLM,

$\cos K=\dfrac{KM}{KL}$

$\cos (35^\circ)=\dfrac{KM}{123}$

$0.819152=\dfrac{KM}{123}$

Multiply both sides by 123.

$0.819152\times 123=KM$

$100.755696=KM$

$KM\approx 100.8$

The measure of side KM is 100.8 cm.

Therefore, the correct option is (2).