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 =(Base)/(Hypotenuse)`

In the given right triangle KLM,

`\cos K=(KM)/(KL)`

`\cos (35^\circ)=(KM)/(123)`

`0.819152=(KM)/(123)`

Multiply both sides by 123.

`0.819152* 123=KM`

`100.755696=KM`

`KM\approx 100.8`

The measure of side KM is 100.8 cm.

Therefore, the correct option is (2).