Respuesta :
The angle of elevation of the ladder is tanα is ratio of height of wall and distance between ladder peg & wall
The tangent function in trigonometry is one of three trigonometric functions that expresses the ratio of the lengths of the adjacent and opposite sides concerning an angle in a right triangle.
Letting α be the angle of a right triangle, the ratio considering the tangent function will be
tanα = perpendicular/ base
If we have two of the three required components, we may use this ratio to identify the missing component: the angle or the two sides.
Think about the triangle ABC with the specified angle and opposite side length. We will use the trigonometric ratio of the tangent function, which connects these three components, to solve for the missing side x that is near the angle. Consequently, we will have.
tanα = 14/3.75
tanα = 75⁰
Hence, the angle of elevation of ladder is 75⁰.
To know more about Tangent.
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