The answer to this problem is b.
Answer: Option 4
Step-by-step explanation:
Similar triangles have congruent angles, so this means that the sines, cosines, and tangents should be the same.
Thus, the side lengths of the triangle we want to find should be multiples of 
.
- This eliminates options (1) and (3).
Between options 2 and 4, we know that the Pythagorean theorem is not satisfied by option (2), thus we should eliminate it.
This leaves us with option (4)
8 + 0 = 8: identity- addition (any number + 0= that number)
<span>a(b + c) = ab + ac: distributive (multiplying a on the left-hand side of the equation by the numbers in parenthesis gives you the right-hand side of the equation) </span>
<span>b + a = a + b: commutative- addition (numbers can be added in any order and still produce the same answer) </span>
<span>If 2 = x, then x = 2: symmetric (if a = b then b = a) </span>
<span>x(10) to be written 10x: commutative- multiplication (numbers can be multiplied in any order and still produce the same result)</span>
<span>let:
X = the distance of the bottom of the ladder from the wall at any time
dX/dt = rate of travel of the bottom of the ladder = 1.1 ft/sec
A = the angle of the ladder with the ground at anytime
dA/dt = rate of change of the angle in radians per second
X = 10 cos A
dX/dt= -10 sin A dA/dt = 1.1
dA/dt = -1.1/(10 sinA)
When X = 6; cosA = 6/10; sinA = 8/10
Therefore:
dA/dt = -1.1/(10 x 0.8) = -0.1375 radiant per second. </span>
