Answer:
23°, 54°, 103°
Step-by-step explanation:
let the2nd angle = x
1st angle = x + 31
3rd angle = 2(x + 31) - 5 = 2x + 62 - 5 = 2x + 57
Sum the 3 angles and equate to 180
x + 31 + x + 2x + 57 = 180 , that is
4x + 88 = 180 ( subtract 88 from both sides )
4x = 92 ( divide both sides by 4 )
x = 23
Then
1st angle = x + 31 = 23 + 31 = 54°
2nd angle = x = 23°
3rd angle = 2x + 57 = 2(23) + 57 = 46 + 57 = 103°
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The height of the statue is 19.5 feet.
Why?
We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.
We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)
Using the trignometric formula, we have:
First triangle:
Second triangle:
Now, the total height of the statue will be:
Have a nice day!
The probability that a 2 or 3 is rolled at least once is 0.14.
<h3>
Probability of not rolling a 2 or 3 in a single die roll of two dice</h3>
when a six die is rolled once there is 11/12 probability of not rolling 2 or 3.
rolling a six sided die two times, p(2 or 3)' = 11/12
rolling a six sided die four times, p(2 or 3)' = (11/12)² = 121/144
the probability that a 2 or 3 is rolled at least once is calculated as follows;
P = 1 - p(2 or 3)'
P = 1 - 121/144
P = 20/144
P = 0.14
Thus, the probability that a 2 or 3 is rolled at least once is 0.14.
Learn more about probability here: brainly.com/question/24756209
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