Consider the following algorithm.. for. i is in {1, 2, 3, 4} do. beep. for j is in {1, 2, 3} do. beep. for k is in {1, 2, 3, 4}
1 answer:
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Answer:
In that scenario, you will have the shape of a triangle, with the measures of two sides (the two slopes of the roof) and one angle (the peak angle).
Based on that it's easy to find out the length of the other side of the triangle, which in this case would the width of the house, going from the ending tip of the left part of the roof to the ending tip of the right part of the roof.
Let's name a and c the sides of the roof, and the angle B the peak of the roof.
We are then looking for the length of the b side, that would connect sides a and c.
By the Cosines Law, we know that
Which we can transform to isolate b, this way:
So, you just have to enter the length of both sides of the roof and the angle, to get the measurement of the width of the house.
Answer:
1A. = 68.96 degrees.
2A. = YES
Step-by-step explanation:
Hi, to answer this question we have to apply:
sin (angle ) = opposite side / hypotenuse
Since the triangle formed is a right triangle ( see attachment), the hypotenuse is the length of the ladder (the longest side), and the opposite side to the angle is the distance between the top of ladder and the ground.
Replacing with the value given
sin x = 14/15
Solving for x
x = arcsin 14/15
x = 68.96 degrees. (1A)
Since the angle is lower than 75 degrees, the ladder is safe the way is positioned.
