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Marina CMI [18]
3 years ago
7

WILL GIVE BRAINLIEST PLEASE HELP WITHIN 15 MINUTES!!

Mathematics
1 answer:
Dvinal [7]3 years ago
3 0

Answer:

60 & 42

Step-by-step explanation:

Just know it.

Good Luck!!

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3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie
allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x  = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 53^\circ=\frac{150-x}{h}

\displaystyle \tan 48^\circ=\frac{x}{h}

From the last equation:

x=h.\tan 48^\circ

Substituting into the first equation:

\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}

Operating on the right side:

\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ

Rearranging:

\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}

Solving for h:

\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0
3 years ago
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb
vfiekz [6]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Find the measure of the arc
steposvetlana [31]

The answer is kindly 21 (100% correct)

3 0
2 years ago
I will gove ppints to anybody who answers this because you will deserve it thank you
kkurt [141]
\left(4^4\right)^2=4^8=65536\\&#10;
5 0
3 years ago
A uniform bar of length l and weight w is attached to a wall with a hinge that exerts a horizontal force hx and a vertical force
maria [59]
The answer is Hx = ½ Wsin θ cos θ
The explanation for this is:
Analyzing the torques on the bar, with the hinge at the axis of rotation, the formula would be: ∑T = LT – (L/2 sin θ) W = 0
So, T = 1/2 W sin θ. Analyzing the force on the bar, we have: ∑fx = Hx – T cos θ = 0Then put T into the equation, we get:∑T = LT – (L/2 sin θ) W = 0
4 0
4 years ago
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