Mathematics: In ΔNOP, the measure of ∠P=90°, the measure of ∠O=37°, and PN = 72 feet. Find the length of OP to the nearest tenth of a foot.

In ΔNOP, the measure of ∠P=90°, the measure of ∠O=37°,

Ответ:

kelbruggie

14.02.2022

Mathematics

119.6

Step-by-step explanation:

Remark

Draw a rough sketch of what is given.

You will find the NP is the side opposite of the triangle.

P is the right angle

OP is the hypotenuse.

Given

NP = 72

<O = 37

Equation

Sin(O) = NP/OP

Sin(72) = .6018

0.6018 = 72/OP Multiply both sides by OP

0.6018*OP = 72 Divide both sides by 0.6018

OP = 72/0.6018

OP = 119.6

0,0(0 оценок)

Ответ:

Destinyb9806

17.02.2023

Mathematics

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, (n_1, n_2, ..., n_n) , is given by:

$G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}$

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

Two elements(n = 2), a and 34. $G = 6\sqrt{17}$

Thus:

$\sqrt{34a} = 6\sqrt{17}$

We find the square of each side, so:

$(\sqrt{34a})^2 = (6\sqrt{17})^2$

$34a = 36\times17$

Simplifying both sides by 17:

2a = 36

$a = \frac{36}{2}$

a = 18

The value of a is 18.

A similar example is given at

0,0(0 оценок)

In ΔNOP, the measure of ∠P=90°, the measure of ∠O=37°, and PN = 72 feet. Find the length of OP to the nearest tenth of a foot.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question