1) Identify the sides 2) Identify the trig ratio that you need
3) On your calculator input to find the length AB

Please check the explanation.

Step-by-step explanation:

Given

The angle Ф = 42°

The hypotenuse = 15 cm

To determine

The length AB = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

In our case:

so substituting Ф = 42°, adjacent = AB, hypotenuse 15 in the trigonometric ratio

cos Ф = adjacent / hypotenuse

cos 42° = AB / 15

AB = 15 × cos 42°

AB = 11.14 cm

Therefore, the length of the side AB = 11.14 cm

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

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step-by-step explanation:

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