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Katena32 [7]
3 years ago
13

A spotlight on a 3.0 m stand shines on the surface of a swimming pool. The beam of light hits the water at a point 7.0 m away fr

om the base of the stand. Calculate the angle the beam makes with the pool surface.
Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0

The angle the beam makes with the pool surface is 29.72°.

Step-by-step explanation:

<u>Data:</u>

The spotlight and surface of a swimming pool makes a 90 degree angle.

Spotlight stand is 3m (Opposite)

Beam of light hits the water 7m away from the base of light (base)

Angle = ?

<u>Use sin to solve</u>

Formula:

Tan (Angle) = \frac{Opposite}{Base}

Solution:

Sin (Angle) = \frac{3}{7}

Angle = tan^{-1} (0.571)

Angle = 29.72°

Therefore, the angle the beam makes with the pool surface is 29.72°.

Keyword: Angle

Learn more about angle at

  • brainly.com/question/4354581
  • brainly.com/question/4767370

#LearnwithBrainly

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7 0
3 years ago
Please, Help.<br>the answer isn't 30°
vagabundo [1.1K]

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A)

<h3>How to find a missing angle by triangle properties</h3>

Triangles are <em>geometrical</em> figures formed by three sides and whose sum of <em>internal</em> angles equals 180°. There are two kind of triangles existing in this question: (i) <em>Right</em> triangles, (ii) <em>Isosceles</em> triangles.

<em>Right</em> triangles are triangles which one of its angles equals 90° and <em>isosceles</em> triangles are triangles which two of its sides have <em>equal</em> measures.

According to the statement, we know that triangle BQR is an <em>isosceles</em> triangle, whereas triangles ABC, ANB and NBC are <em>right</em> triangles. Based on the figure attached below, we have the following system of <em>linear</em> equations based on <em>right</em> triangles ABC and NBC:

<em>2 · x + 90 + θ = 180</em>   (1)

<em>(90 - x) + 90 + θ = 180</em>   (2)

By equalizing (1) and (2) we solve the system for <em>x</em>:

<em>2 · x = 90 - x</em>

<em>3 · x = 90</em>

<em>x = 30</em>

And by (1) we solve the system for <em>θ</em>:

<em>θ = 180 - 2 · x - 90</em>

<em>θ = 30</em>

<em />

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A) \blacksquare

To learn more on right triangles, we kindly invite to check this verified question: brainly.com/question/6322314

8 0
3 years ago
Let f(x) = 9 – x^2, g(x) = 3 – x. Find (f – g)(x) and its domain.
nadya68 [22]
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3 years ago
Compare the equation, y = 9x - 4x2, the graph below, and the table below. Which has the steepest rate of change from x = 1 to x
jeka57 [31]
The correct answer to this question is  C. equation, –3

The equation is 
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The steepest rate of change from x = 1 to x =2

x = -1 ; y = 0
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x  =3 ; y = -4

So, based from the table show, the steepest rate of change is <span>C. equation, –3</span>
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3 years ago
What is the absolute value of -90?
Alexandra [31]

Answer: 90

Step-by-step explanation:

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3 years ago
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