The longer leg of 30°-60°-90° triangle is 16√3. how long is the shorter leg?
2 answers:
Answer:
The length of longer leg is 16 units
Step-by-step explanation:
Given the longer leg of 30°-60°-90° triangle
we have to find the length of shorter leg.
we have to find the length of BC i.e the shorter leg as side opposite to smaller angle is shortest.
By trigonometric ratios
Hence, the length of longer leg is 16 units
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Melanie: 15 years old
Kevin: 5 years old
Assume Kevin's present age is x.
That means that 3 years ago, his age would be x - 3.
Melanie's age would be 6(x - 3).
Same thing for 5 years into the future:
Kevin's age would be x + 5.
Melanie's age would be 2(x + 5).
The two equations we have here are:
By subtracting both equations, we are simplified to:
8 = -4x + 28
By solving the equation, we get x = 5.
That means that Kevin's current age is 5 years old.
Melanie's age could be calculated by substituting Kevins'.
6(x - 3) --> 6(5 - 3) --> 12
Since that was 3 years ago, you need to add 3 to 12 to get her current age.
12 + 3 = 15
Melanie's current age is 15 years old.