What is the perimeter, in units, of polygon PQRSTU? Enter your answer in the box.

Mathematics

1 answer:

ololo11 [35]3 years ago

5 0

Answer:

24 units

Step-by-step explanation:

Perimeter of Polygon PQRSTU = sum of all its side lengths = PQ + QR + RS + ST + TU + PU

PQ = |-4 -(-2)| = 2 units

QR = |4 - 2| = 2 units

RS = |-2 - 2| = 4 units

ST = |2 -(-2)| = 4 units

TU = |2 -(-4)| = 6 units

PU = |4 - (-2)| = 6 units

Perimeter of Polygon PQRSTU = 2 + 2 + 4 + 4 + 6 + 6 = 24 units

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Emma is standing 10 feet away from the base of a tree and tries to measure the angle of elevation to the top. She is unable to g

Vaselesa [24]

The complete question in the attached figure

step 1
find the tree height for an angle of elevation of 55°
tan 55°=opposite side angle 55°/adjacent side angle 55°
opposite side angle 55°=the tree height h1
adjacent side angle 55°=10 ft
so
tan 55°=h/10-------> h=10*tan 55°-----> h=14.28 ft

step 2
find the tree height for an angle of elevation of 75°
tan 75°=opposite side angle 75°/adjacent side angle 75°
opposite side angle 75°=the tree height h2
adjacent side angle 75°=10 ft
so
tan 75°=h2/10-------> h2=10*tan 75°-----> h2=37.32 ft

therefore

the height of the tree is within the range [14.26,37.32]

Part 1) 4.2 ft

the value is not in the interval [14.26,37.32]
therefore
it is Not Reasonable

Part 2) 14.7 ft

the value is in the interval [14.26,37.32]
therefore
it is Reasonable

Part 3) 24.4 ft

the value is in the interval [14.26,37.32]
therefore
it is Reasonable

Part 4) 33.9 ft

the value is in the interval [14.26,37.32]
therefore
it is Reasonable

Part 5) 39.1ft

the value is not in the interval [14.26,37.32]
therefore
it is Not Reasonable

Part 6) 58.7 ft

the value is not in the interval [14.26,37.32]
therefore
it is Not Reasonable