A-2.5<br> 2a-22.7<br> a+1.3<br> 21.5<br> What’s a

A person on a lake sees a plane flying overhead. The angle formed by his line of sight to the plane is 39°; If the plane is flying about 5000 ft, find the horizontal ground distance between the person and the plane.

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$\large \sf \dagger \: {Solution: \dagger}$

Let x = horizontal ground distance between the person and the plane.

$\qquad\bigstar \: \large \sf{Equation: tan \: 39 \degree = \frac{5000}{x} }$

Solving the equation,

$\large\qquad \implies\tt{tan \: 39\degree = \frac{5000}{x}}$

$\large\qquad \implies \tt{x(tan \: 39 \degree) = \cancel{ x} \large{(} \frac{5000}{ \cancel{x}} \large{)}}$

$\large\qquad\implies \tt \cancel{ \frac{x \: tan \: 39 \degree}{tan \: 39 \degree}} = \frac{5000}{tan \: 39 \degree}$

$\large\qquad \implies \tt{x = \frac{5000}{tan \: 39\degree}}$

$\large \qquad \implies \tt{x \approx \pmb{6174.48758}}$

Checking the solution,

$\large\tt{tan \: 39 \degree = \frac{5000}{x}}$

$\large \tt{ tan \: 39 \degree = \frac{5000}{6174.48758}}$

$\large\tt{0.80978 = 0.80978}$

$\large \sf \dagger \: {Answer: \dagger}$

The horizontal distance between the person and the plane is approximately 6174 ft.

$\qquad \rule{200pt}{3pt}$

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5 0

2 years ago

A newly hatched channel catfish typically weighs 0.3 grams. During the first 6 weeks of life, its growth is approximately expone

Tanzania [10]

Answer: second option 4.33 g

Explanation:

1) The formula is given: A = C(1+r)ˣ ↔ (I used x instead of t just do to limitations of the math editor. Keep in mind that here x is time in days.

2) r is the rate of increasing given: 10% = 10/100 = 0.1

3) C is the initial weight and A is the final weight after x (or t) days.

4) The equation leads to:

A = 0.3 (1 + 0.1)ˣ = 0.3(1.1)ˣ

x = number of days = 7 × number of weeks = 7 × 4 = 28 days

4) Compute:

A = (0.3g)(1.1)²⁸

A = 4.33g ← answer

5 0

4 years ago

Which of the ratios below is equivalent to 5:2? Select all that apply.

Nata [24]

Answer:

D

Step-by-step explanation:

This is because they are both mulitplied by two so they are still equivalent

6 0

3 years ago

A-2.5 2a-22.7 a+1.3 21.5 What’s a