When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is Sandy, to th
e nearest inch?
1 answer:
Answer:
The height of Sandy is 68.74 inches.
Step-by-step explanation:
It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.
Let the height of Sandy be x.
Sandy casts a shadow that is 9 feet 2 inches long.
We know that 1 feet = 12 inches
Using this conversion, we get
Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches
In a right angled triangle,
In triangle ABC,
Multiply both sides by 110.
Therefore the height of Sandy is 68.74 inches.
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<h2>Hello!</h2>
The answer is:
The interval notation will be: (-∞,-1.59) and (-4.41,∞+)
<h2>Why?</h2>To solve the expression, we need to perform the following steps:
- Find the roots or zeroes of the expression:
Using the quadratic equation, we have:
We are given the quadratic expression:
Where,
Then, substituting and calculating we have:
- Inequality interpretation:
Now that we already know the roots of the quadratic expression, and we can see that the parabola open upwards (positive quadratic coefficient), we can conclude that the function is less than 0 between the numbers -4.41. and -1.59
The interval notation will be:and (-∞,-1.59) and (-4.41,∞+)
Have a nice day!
Note: I have attached a picture for better understanding.