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Dmitrij [34]
2 years ago
12

A bird watcher is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to a bird on top

of the tree as 71.5. How y'all is the tree?
Mathematics
1 answer:
yan [13]2 years ago
5 0

Answer:

149.43 feet tall

Step-by-step explanation:

From the base of a large tree, a bird watcher is standing 50 feet away.

There is 71.5° of elevation from the bird watcher to a bird on the top of the tree.

If we ignore the height of the observer and consider the height of the tree as h feet, then using trigonometry we can write that

tan 71.5° = \frac{h}{Base} = \frac{h}{50}

Hence, h = 50 tan 71.5° =149.43 feet.

Therefore, the tree is 149.43 feet tall. (Answer)

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Find all zeros x^3+2x^2+4x+21
dlinn [17]

Answer:

see explanation

Step-by-step explanation:

note when x = - 3

(- 3)³ + 2(- 3)² + 4(- 3) + 21 = - 27 + 18 - 12 + 21 = 0

hence x = - 3 is a zero and (x + 3) is a factor and dividing gives

\frac{x^3+2x^2+4x+21}{x+3} = (x + 3)(x² - x + 7)

For zeros equate to zero

(x + 3)(x² - x + 7) = 0

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x² - x + 7 = 0 ← solve using quadratic formula

x = (1 ± \sqrt{1-28} ) / 2 = (1 ± 3i\sqrt{3} ) / 2

x = \frac{1}{2} ± \frac{3i\sqrt{3} }{2}

zeros are x = - 3, x = \frac{1}{2} ±\frac{3i\sqrt{3} }{2}


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3 years ago
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-Real, rational, irrational, whole, integers.
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Step-by-step explanation:

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Molodets [167]

Answer: it is 1/6

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It doesn't matter the amount of trays because the pattern is always the same.

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Step-by-step explanation:

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3 years ago
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