Answer:
Step-by-step explanation:
<u>Pythagoras Theorem</u>
where:
- a and b are the <em>legs</em> of the right triangle
- c is the <em>hypotenuse </em>(longest side) of the right triangle
Given values:
Substitute the given values into Pythagoras Theorem formula and <u>solve for c</u>:
Therefore, the measure of the third side of the given right triangle is
Learn more about Pythagoras Theorem here:
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Answer:
Step-by-step explanation:
Add to both sides:
Simplify:
Multiply both sides by :
Simplify:
Divide both sides by :
Simplify:
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Answer:
x = 14
Step-by-step explanation:
Solve for x:
90 = -4 + 2 x + 3 (x + 8)
3 (x + 8) = 3 x + 24:
90 = 3 x + 24 + 2 x - 4
Grouping like terms, 3 x + 2 x - 4 + 24 = (2 x + 3 x) + (-4 + 24):
90 = (2 x + 3 x) + (-4 + 24)
2 x + 3 x = 5 x:
90 = 5 x + (-4 + 24)
24 - 4 = 20:
90 = 5 x + 20
90 = 5 x + 20 is equivalent to 5 x + 20 = 90:
5 x + 20 = 90
Subtract 20 from both sides:
5 x + (20 - 20) = 90 - 20
20 - 20 = 0:
5 x = 90 - 20
90 - 20 = 70:
5 x = 70
Divide both sides of 5 x = 70 by 5:
(5 x)/5 = 70/5
5/5 = 1:
x = 70/5
The gcd of 70 and 5 is 5, so 70/5 = (5×14)/(5×1) = 5/5×14 = 14:
Answer: x = 14
The answer is 13 because you have to go 13 up to get +(positive)4
Answer:
<em>The height of the plane is 405 meters</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The situation can be represented as shown in the image below. The ground, the height H, and the direct distance to the plane to the shipwreck form a right triangle, where the trigonometric ratios stand.
Since the known distance is adjacent to the angle, and the required height is opposite to the given angle, we use the tangent ratio, defined as:
We need to find H, so we solve for H:
H=405 m
The height of the plane is 405 meters