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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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ser-zykov [4K]

Answer:

5 1/3

Step-by-step explanation:

<h2>Lesson: Adding or Sutracting Fractions</h2>

<em>Convert mixed number to improper fraction.</em>

<em>3 5/6=23/6</em>

<em>23/6+3/2</em>

<em>23/6+9/6</em>

<em>Denominators are equal, and it should be combine the. fractions.</em>

<em>23+9/6</em>

<em>Add the numbers from left to right.</em>

<em>23+9=32</em>

<em>32/6</em>

<em>Make sure to cancel by the common factor of 2.</em>

<em>16/3</em>

<em>Convert improper fractions into the mixed number.</em>

<em>16/3=5 1/3</em>

<em>5 1/3 is the correct answer.</em>

<em>I hope this helps you, and have a wonderful day!</em>

7 0
3 years ago
Find the equation of the line that is perpendicular to -x+2y=11 and passes through the point (6,-5).
Serggg [28]

Step-by-step explanation:

m=-2

y+5=2(x-6)

y+5=2x-12

y=2x-17

6 0
3 years ago
Read 2 more answers
I need help asap pls and thank you ;)
olga55 [171]

Answer:

\text{Length of AB is }\frac{ah}{a+h}

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP     (∵ corresponding angles)

∠NDC=∠NPM     (∵ corresponding angles)

By AA similarity rule,  ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\

KA(\frac{h}{x}-1)=AP

ND(\frac{h}{x}-1)=PD

Adding above two, we get

(KA+ND)(\frac{h}{x}-1)=(AP+PD)

⇒ (KN-AD)=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x^2}{h-x}

⇒ x^2=ah-ax-xh+x^2

⇒ x(h+a)=ah

⇒ x=\frac{ah}{a+h}

3 0
3 years ago
Radius of 0.75 centimeters is rational or irrational
ella [17]
A radius of 0.75 would be rational because the decimal ends and does not repeat itself.
6 0
3 years ago
Need help pls thxs. you​
ale4655 [162]

Answer:

The second expression is the product of the above expressions.....

8 0
3 years ago
Read 2 more answers
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