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Ivan
3 years ago
5

A surveyor measured the angle of elevation of a flat spire as 15 degree from a point in horizontal group.He movrs 30m nearer to

the flat and measure the angle of elevation at 43 degrees.Calculate the height of the spire to the nearest hundredth.
Mathematics
1 answer:
frozen [14]3 years ago
8 0

Answer:

11.28m

Step-by-step explanation:

The computation of the height of the spire is shown below:

let us assume the height of the spire be x

Now

For triangle ABD

Tan 43 degrees = h ÷ x

x = h × cot 43 degrees

= 1.07236 h

For triangle ABC

tan 15 degrees = h ÷ (30 + x)

0.2679 = h ÷ 30 + 1.07236h

8.038 + 0.28728 h = h

h = 11.28m

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f(x)=10x+30

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Answer:(x-5)+(y-5)=9

Step-by-step explanation:

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3 years ago
What are the roots of the polynomial equation?<br><br> x2+x−72=0
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Step-by-step explanation:

8 0
3 years ago
A mirror should be centered on a wall. The mirror is 36 inches wide and the wall is 18 feet wide. Which equation helps determine
Lera25 [3.4K]

Linear equation is the equation in which the highest power of the unknown variable is always 1.The equation which helps determine the distance x on each side of the mirror is ,

x+3+x=18.

<h3>Given information-</h3>

The length of the mirror is 36 inches.

The length of the wall is 18 feet.

The linear equation has to find out for the distance <em>x.</em>

<em />

<h3>Linear equation-</h3>

Linear equation is the equation in which the highest power of the unknown variable is always 1.

As one feet is equal to the 12 inches. Thus the length l of the mirror in the feet is,

l=\dfrac{36}{12}

l=3

The mirror is 3 feet wide.

The distance on each side of the mirror is <em>x. </em>This distance is equal at both side as the mirror is centered. The distance on each side of the mirror is,

=x+x.

Now the the wall is 18 feet wide which is equal to the distance each side of the mirror and the distance of the mirror. As the mirror is 3 feet wide. Thus the equation which determine the distance x on each side of the mirror can be given as,

x+3+x=18

Hence the equation which helps determine the distance x on each side of the mirror is ,

x+3+x=18.

Learn more about the linear equation here;

brainly.com/question/2263981

7 0
3 years ago
A = 1/ 7 - 4√3<br> B = 1/ 7+ 4√3<br> Find....<br> A) a² + b²<br> B) a³ + b³
iragen [17]

The value of a2+b2 = 0.05

The value of a3+b3 = 41.73

Concept: (a+b)2 = a2+b2+2ab

(a-b)2 = a2+b2-2ab

(a+b)3 = a3+b3+3a2b+3ab2

(a-b)3 = a3-b3-3a2b+3ab2

(I) a²+b²=(1/7-4✓3)²+(1/7+4✓3)²

⇒ ( 1/49 - 48) +(1/49 + 48)=(1-2352/49) + (1+2353/49)

⇒ -47.97 +48.02= 0.05

(ii) a³+b³=(1/7-4✓3)³+(1/7+4✓3)³

⇒(-6.78)³ +(7.07)³

⇒-311.66 +353.39= 41.73

For more information about cubes and squares , visit brainly.com/question/107100

#SPJ10

8 0
2 years ago
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