Answer:
The distance of the base of the ladder from the base of the building is equal to 8.17 ft to the nearest tenth using the trigonometric ratio of sine of the angle 65°
What are trigonometric ratios
The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
we shall represent the distance of the base of the ladder from the base of the building with the letter x so that:
sin 65° = x/9 ft {adjacent/hypotenuse}
x = sin 65° × 9 ft
x = 8.1568
Therefore, the distance of the base of the ladder from the base of the building is equal to 8.17 ft to the nearest tenth using the trigonometric ratio of sine of the angle 65°.