Can someone help me with this math homework please!
1 answer:
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Answer: The angle of elevation would be 36.87 degrees (approximately)
Step-by-step explanation: Please refer to the attached diagram for details
The 30-foot ladder reaches a point in the building which is point A. The height at which the ladder touches the building is 18 feet (that is, the height of the building, line AC. The angle of elevation from the ground is at angle B, the angle which the ladder forms with the ground.
So we have a right angled triangle ABC, with two sides and a reference angle B. To find angle B, we shall apply the trigonometric ratio;
SinB = opposite/hypotenuse
SinB = 18/30
SinB = 0.6
By use of a calculator or table of values
B = 36.8698
Approximately, angle B = 36.87 degrees
Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,
Taking square root on both sides.
Therefore, the distance between S and S' is 13 units.
