The length of PN is 2.63 feet
<u>Explanation:</u>
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Given:
∠P=90°,
∠O=17°,
OP = 8.6 feet
PN = ?
The given triangle is a right angle triangle as one angle is 90°
We know:


Therefore, the length of PN is 2.63 feet
Answer:
120 pages
Step-by-step explanation:
1/2 h ↔ 20 pages
1 h ↔ 40 pages
3 h ↔ 120 pages
Answer:
2 - sqrt(3)
Step-by-step explanation:
Split pi/12 into two angles where the values of the six trigonometric functions are known.
tan (pi/4 - pi/6)
Apply the difference of angles identity

tan(pi/4) = 1 , tan(pi/6) = (sqroot3)/3
Plug in and Simplify



Need to multiply this by 
Expand and simplify numerator: 
Expand and simplify denominator: 
Cancel the common factor: 
<h3>
Answer: Circle</h3>
Explanation:
Imagine that you have a rope staked into the ground at one end. The other end is allowed to move freely. At this freely moving endpoint, imagine white chalk is spread on the grass. The chalk would draw out a circle. Each point on the white chalk circle is the same distance away from the center.
Another example: we have a campfire and campers gather around it. The fire itself is the center. The campers would be on the edge of the circle if they are the same distance away from the fire (eg: all of them 5 feet away from the fire).
Then angle D is 67 as all sides and measurements are equal on a parallelogram.