You are standing 5 miles away from the peak. You look up at a 47-degree angle to the peak. How tall is the mountain? Hint: 5280 feet = 1 mile. Round your answer to the nearest foot.

19272 feet

Step-by-step explanation:

We are given that the distance between the person and peak is 5 miles.

and angle is when we look up at the mountain peak.

The given situation is best represented as a right angled triangle as shown in the attached figure.

IKJ where

IK is the mountain.

J is the point where we are standing.

Distance JI = 5 miles

To find: Distance IK = ?

We can use trigonometric identities to find IK.

Hence, height of mountain = 19272 ft

step-by-step explanation:

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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.