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3 years ago

I need help in solving this question and figuring out the area of this square.

Mathematics

1 answer:

Nikolay [14]3 years ago

7 0

Need to be more specific please

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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

Please help, I'm stuck on this answer.

babymother [125]

I agree with what that person told you. The expression -2(x+10) is equivalent to -2x-20

Multiply the outer -2 with the inner x to get -2 times x = -2x

Multiply the outer -2 with the inner term 10 to get -2 times 10 = -20

So overall, -2(x+10) = -2x-20

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

So that's how we're able to go from this $-2(x+10) \ge 75$ to this $-2x-20 \ge 75$

The only thing that changes is the left side. The inequality sign will not flip. It only flips if we multiply both sides by a negative number.

8 0

2 years ago

Read 2 more answers

Need help <br><br>True or False

EleoNora [17]

The answer to this question is false because it cannot still be both negative after you reflect over two positives.

7 0

3 years ago

How many feet are in 84 yards. (im really bad at converting) :(

Gre4nikov [31]

1 yard = 3 feet, so we would do 3×84, which is 252.

There are 252 feet in 84 yards.

7 0