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tia_tia [17]
2 years ago
11

A momma bird is sitting on the ground. The baby bird in the nest can see her momma at an angle of depression of 54°. If the momm

a bird is 18 feet from the base of the tree, how high is the bird's nest off the ground? Question 2 options: 28 ft 25 ft 15 ft 11 ft
Mathematics
1 answer:
dmitriy555 [2]2 years ago
5 0

Answer:

  • B. 25 ft

Step-by-step explanation:

<u>We have the following points:</u>

  • B- position of baby bird
  • M- position of momma bird
  • G- base of the tree

<u>Given:</u>

  • GM = 18 feet
  • BG = x
  • m∠BMG = 54°

<u>Find the value of x:</u>

  • x / GM = tan ∠BMG
  • x / 18 = tan 54°
  • x = 18 tan 54°
  • x = 24.77 ≈ 25 ft

Correct choice is B

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Answer:

The probability of selecting two jelly filled donuts in a row is 1.08%.

Step-by-step explanation:

Since Elizabeth brought a box of donuts to share, and there are two dozen (24) donuts in the box, all identical in size shape and color, of which 3 are jelly filled, 6 are lemon filled and 15 are custard filled, and you randomly select one donut eat it and select another donut, to find the probability of selecting two jelly filled donuts in a row the following calculation must be performed:

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3 years ago
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Option B:

I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}

Solution:

Given sound level = 120 decibel

To find the intensity of a fire alarm:

$\beta=10\log\left(\frac{I}{I_0} \right)

where I_0=1\times10^{-12}\ \text {watts}/ \text m^2}

Step 1: First divide the decibel level by 10.

120 ÷ 10 = 12

Step 2: Use that value in the exponent of the ratio with base 10.

10^{12}

Step 3: Use that power of twelve to find the intensity in Watts per square meter.

$10^{12}=\left(\frac{I}{I_0} \right)

$10^{12}=\left(\frac{I}{1\times10^{-12}\ \text {watts}/ \text m^2} \right)

Now, do the cross multiplication,

I=10^{12}\times1\times\ 10^{-12} \ \text {watts}/ \text m^2}

I=1\times\ 10^{12-12} \ \text {watts}/ \text m^2}

I=1\times\ 10^{0} \ \text {watts}/ \text m^2}

I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}

Option B is the correct answer.

Hence I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}.

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3 years ago
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3 years ago
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To find out how many inches were gained, solve it with the expression 8 - x.
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2 years ago
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