When flying a kite Peter without 45 feet of string and anchors it to the ground. He determines the angle of elevation of the kit
1 answer:
We're going to use trigometric functions!
So we know the angle is 63° (Ф=63°)
the length of the string is 45 ft (hyp=45)
and we need to solve for height (h=?)
Using sinФ=
We can rewrite it as
sinФ=
By isolating the height (h) we can find the value
sinФ=
h= hyp(sinФ)
Then insert value of hyp, Ф and find height
h= hyp(sinФ) = 45sin63 = 40 ft
The kite is 40 ft off the ground
So we know the angle is 63° (Ф=63°)
the length of the string is 45 ft (hyp=45)
and we need to solve for height (h=?)
Using sinФ=
We can rewrite it as
sinФ=
By isolating the height (h) we can find the value
sinФ=
h= hyp(sinФ)
Then insert value of hyp, Ф and find height
h= hyp(sinФ) = 45sin63 = 40 ft
The kite is 40 ft off the ground
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is equivalent to the triple integral of the divergence of
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<h3>Answer:</h3>
7
The triangle shown is a 45-45-90 triangle. This name comes from the fact the 3 angle measurements are 45, 45, and 90 degrees.
If needed, you could find the missing angle using the equation: 180 - (45 + 90) = x.
Special Right Triangles
Special right triangles allow us to use formulas and shortcuts to find missing sides easily. Another type of special right triangle is the 30-60-90 triangle. While both of these are special right triangles, they have different formulas.
Formulas
All 45-45-90 triangles have 2 types of sides: the legs (a and b) and the hypotenuse (c).
- c = b
- b = a
- a = b
In these triangles, both of the legs are congruent.
Solving for c
Since we are given b, we can just plug the b-value into the formula that solves for c.
- c = 7
The answer cannot be simplified further, so this is the final answer.