Using relations in a right triangle, it is found that the angle of elevation of the ladder is given by:
C) 70.3
What are the relations in a right triangle?
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this problem, we have that the hypotenuse is of 14 feet, while the adjacent side to the elevation angle is of 5 feet, hence:
[tex]\cos{\alpha} = \frac{5}{14}[/tex]
[tex]\alpha = \cos^{-1}{\left(\frac{5}{14}\right)}[/tex]
[tex]\alpha = 70.3[/tex]
Hence option C is correct.
More can be learned about relations in a right triangle at https://brainly.com/question/26396675
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