Final answer:
To build a ramp with a length of 14 ft and an angle of elevation of 26°, you can use the formula: height = length * tan(angle). The height of the ramp is approximately 6.06 ft.
Step-by-step explanation:
To build a ramp with a length of 14 ft and an angle of elevation of 26°, we can use the trigonometric function tangent. The tangent of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side. In this case, the opposite side is the height of the ramp and the adjacent side is the length of the ramp.
To find the height of the ramp, we can use the formula: height = length * tan(angle).
Substituting the given values, we get: height = 14 ft * tan(26°).
Calculating this, we find that the height of the ramp is approximately 6.06 ft. Therefore, the correct answer is A. 14 ft, 26°