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The length of PN is 2.63 feet
<u>Explanation:</u>
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Given:
∠P=90°,
∠O=17°,
OP = 8.6 feet
PN = ?
The given triangle is a right angle triangle as one angle is 90°
We know:
Therefore, the length of PN is 2.63 feet
Answer:
23.094 ft approximately
(If you want your answer in a different format, let me know please.)
Step-by-step explanation:
I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.
But I think they want you to use the formula:
.
Input into calculator:
(approximation)
l represents the length of the roof.
So we have l=46.188 and b=40.
We must use the Pythagorean Theorem to find the height,h, for of the roof.
l is the hypotenuse.
Subtract 1600 on both sides:
Take square root of both sides:
The answer is 23.094 feet for the height that roof reaches on the building.
I want to show you another way:
Multiply both sides by 40:
Input into calculator:
I didn't do it this way because your problem suggested you use their formula to find the height.
The product of (3.4 × 10⁻¹⁴) and (1.8 × 10²⁸) is 6.12 × 10¹⁴. Applying associative property and exponential rule, the required product is calculated.
<h3>What are the required properties?</h3>The given products are decimals and exponentials. So, the required properties are the associative and exponential rules. They are as follows:
Associative property:
a×(b × c) = (a × b)×c
From this, we can also write,
(a × b) × (c × d) = (a × c) × (b × d)
Exponential rule:
The product of two exponentials is
The given values are
3.4 × 10⁻¹⁴ and 1.8 × 10²⁸
The product of these values is
(3.4 × 10⁻¹⁴) × (1.8 × 10²⁸)
Applying the associative property: (a × b) × (c × d) = (a × c) × (b × d);
⇒ (3.4 × 10⁻¹⁴) × (1.8 × 10²⁸) = (3.4 × 1.8) × (10⁻¹⁴ × 10²⁸)
Applying exponential rule:
⇒ 6.12 × 10⁻¹⁴⁺²⁸
⇒ 6.12 × 10¹⁴
Thus, the product of the given values is 6.12 × 10¹⁴. Option A is correct.
Learn more about the exponential rules here:
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