Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right
2 answers:
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Answer:
a) Δx = -35ft
b) Δx = -25ft
c) Kyle traveled 10ft more than John
Step-by-step explanation:
We define a coordinate reference system() in which y = 0 corresponds to the water surface.
a) The initial position of Kyle in our coordinate reference system is:
and his final position is:
Therefore, he traveled
Δx =
b) The initial position of John in our coordinate reference system is:
and his final position is:
Therefore, he traveled
Δx =
c) Then, Kyle traveled 10ft more than John
Answer:
A) 8, 15, 17.
Step-by-step explanation:
Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.
The Pythagorean theorem states that:
Thus:
Option A:
→ 17 = 17 OK!
Option B:
→ 10 ≠ 12 NO
Option C:
[/tex] →
≠ 21 NO
Option D:
→
≠ 16 NO
Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: . Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.
Multiply both sides by 80
Calculate sin(46) using a calculator (make sure it's in degree mode)
Simplify
Round this to the nearest foot
