Suppose that the functions g and h are defined for all real numbers x as follows.
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Answer:
32.3
Step-by-step explanation:
First we want to make a triangle like on the left side, so make a new point on AD that is directly below C, we'll call this E.
We know CE is 6 because it's the same as that line going down from B, let me know if you do not see that.
now we want to find the last leg of this new triangle CED, the non hypotenuse. We know AD is 24 CM. It is now sebarated into three parts, the beginning part in the left most triangle, the 10 cm between the triangles and the side we want to find. Since we know the middle part we want to find the left part.
The left part of AD can be found with the pythagorean theorem. this can be turned into
Now we know 24 = 10 + 4.5 + y, with y being the right part. So now we know y=9.5
Back to the new triangle, we know two sides and want to find an angle, so we can do some inverse trig functions. Relatie to the angle we want to find we have the opposite (6) and the adjacent (9.5) so we use tangent. tan(theta)= o/a = 6/9.5. Using the inverse of tangent or arctan (because it's easier to type) arctan(6/9.5)=32.276 which rounds to 32.3. Again, let me know if you need help with any of this.