<h2>
Answer:</h2>
<u>x= 90°</u>.
<h2>
Step-by-step explanation:</h2>
<h3>1. Write the expression.</h3>

<h3>2. Subtract "4" from both sides of the equation.</h3>

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

<h3>4. Divide both sides by 10.</h3>

<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

<h3>6. Conclude.</h3>
<u>x= 90°</u>.
Answer:
D. 22,417 feet
Step-by-step explanation:
Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.
Hypotenuse = x and Opposite = 15,000feet
According to SOH;


Hence the distance (x) from the plane P to the observer O is approximately 22,417 feet
Answer:
21.68 minutes ≈ 21.7 minutes
Step-by-step explanation:
Given:

Initial temperature
T = 100°C
Final temperature = 60°C
Temperature after (t = 3 minutes) = 90°C
Now,
using the given equation

at T = 90°C and t = 3 minutes


or

taking the natural log both sides, we get
3k = 
or
3k = -0.2876
or
k = -0.09589
Therefore,
substituting k in 1 for time at temperature, T = 65°C

or

or

or

taking the natural log both the sides, we get
( -0.09589)t = ln(0.125)
or
( -0.09589)t = -2.0794
or
t = 21.68 minutes ≈ 21.7 minutes
FIrst we know that
1 second = 1/3600 hours
5280 ft = 1 miles
Which means that
50 Ft = 50/5280 miles
So the conversion
(5/5280 miles ) / (1/3600)
= 5/5280 miles x 3600
= 34.09 miles per hour