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Mathematics

1 answer:

IgorC [24]2 years ago

3 0

Answer:

Step-by-step explanation:

Her angle of depression is the same measure as the angle of inclination inside the triangle. That's the base angle that is not the right angle. The height of the triangle is the 10,000 feet she is up in the air, and the reference angle is 20, and we are looking for the measure of the base of this right triangle. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio:

$tan(20)=\frac{10000}{x}$ and

$x=\frac{10000}{tan20}$ so

x = 27474.77 feet

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For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicu

Nat2105 [25]

Answer/Step-by-step explanation:

Given,

10x - 3y = 3

3x + 10y = 30

Rewrite both equation in slope-intercept form, y = mx + b.

Where, m = slope of the line.

Thus,

✔️10x - 3y = 3

-3y = -10x + 3

y = 10/3x - 1

Slope of this line would be 10/3

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10y = -3x + 30

y = -3/10x + 3

The slope of this line is -³/10.

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2 years ago

Sharma is building a shed and wants to determine the measurements for the roof. The span of the roof will be 10 feet and she pla

Stolb23 [73]

Answer:

In the figure below :

d = 2.08, e = 5, c = 5.42 , a = 22.78°, b = 67.22°

Step-by-step explanation:

Side lengths :

$2\cdot e=10\\ \Rightarrow e=5 feet\\\frac{d}{e}=\frac{5}{12}\\\Rightarrow d=\frac{25}{12}\approx 2.08 feet$

By pythagoras theorem,

$c^2=d^2+e^2\\c^2=29.33\\c\approx 5.42 feet$

Now to find angles,

$a+b+90^{\circ}=180^{\circ}\\\Rightarrow a+b=90^{\circ}\\\tan a=\frac{d}{e}\\\Rightarrow \tan a =0.42\\\Rightarrow a=22.78^{\circ}\\\Rightarrow b=67.22^{\circ}$