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GaryK [48]
3 years ago
9

The second angle of a triangular kite is four times as large as the first. The third angle is 15 degrees more than the sum of th

e other two angles. Find the measure of the second angle.
Mathematics
1 answer:
frutty [35]3 years ago
5 0
Let's set the first angle as x, the second angle is then 4x, and the third angle is (x+4x)+15, which is 5x+15
the three angles make a sum of 180: x+4x +5x+15=180
10x=165
x=16.5
the second angle is 4x=4*16.5=66
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artcher [175]

Answer:

27.2 ft

Step-by-step explanation:

Let's set up a ratio that represents the problem:

Object's Height (ft) : Shadow (ft)

Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.

34 : 30

Find the unit rate:

The unit rate is when one number in a ratio is 1.

Let's make the Shadow equal to one by dividing by 30 on both sides.

Object's Height (ft) : Shadow (ft)

34 : 30

/30  /30

1.13 : 1

Now, let's multiply by 24 on both sides to find the height of the tree.

Multiply:

Object's Height (ft) : Shadow (ft)

1.13 : 1

x24  x24

27.2 : 24

Therefore, the tree is 27.2 feet tall.

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