2 years ago

Please help I don’t understand how to solve this !

Mathematics

1 answer:

Ket [755]2 years ago

8 0

Answer:

x = 30

Step-by-step explanation:

x + 2x + 3x = 180

6x = 180

6 6

x = 30

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Height of the pole (DC) is 57.2709m

Step-by-step explanation:

Here, Wire DA and Wire DB supports a pole.

Given that Angle, A=54 , B= 72.

Also, AB = 23m

Now, Taking triangle BCD and Using basic trigonometry

Height of pole H = DC

$TanB = \frac{DC}{BC}$

$BC= \frac{DC}{TanB}$

Now, Taking triangle ACD and Using basic trigonometry

$TanA = \frac{DC}{AC}$

$AC= \frac{DC}{TanA}$

From figure, we know that

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Replacing values of AC and BC

$\frac{DC}{TanA} - \frac{DC}{TanB}=23\\DC(\frac{1}{TanA}-\frac{1}{TanB})=23$

Now, TanB= Tan72 =3.0776 and TanA = Tan54=1.3763

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$DC = 57.2709$

Thus, Height of thepole is 57.2709m

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