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zvonat [6]
3 years ago
15

Plss solve this problem... will mark brainiest

Mathematics
2 answers:
larisa [96]3 years ago
8 0

Answer:

87.97m^3

Step-by-step explanation:

(cylinder)

V=\pi r^{2}h=\pi *2^{2}*6 ≈ 75.4m^3

(Cone)

V=\pi r^{2}\frac{h}{3} =\pi *2^{2}*\frac{3}{3} ≈ 12.57m^3

75.4+12.57= 87.97m^3

Sonja [21]3 years ago
5 0

Answer:

87.97 or 88

Step-by-step explanation:

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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}

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\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}

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The building is 61.5 m tall

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