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3 years ago

help me its easy Triangle DOG is an isosceles triangle with DO = OG, and mD = 18. What is mO? A. 18 B. 36 C. 144 D. 162

1 answer:

4 0

Angle D and angle G are the base angles, which means they are equal. If D = 18, then G = 18. Since the sum of the angles of a triangle equals 180 degrees, subtract 18 + 18 from 180 to get angle O.
180 - 36 = 144
Angle O = 144

Hope this helps =)

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Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

$\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$

Upon substituting our given values we will get,

$\text{Cos (4)}=\frac{55.86}{h}$

$h=\frac{55.86}{\text{Cos (4)}}$

$h=\frac{55.86}{0.99756405026}$

$h=55.996\approx 56$

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

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