Suppose a 5 foot ladder is leaning against a vertical wall, where the top of the ladder is a distance of y feet up from the ground. Then the angle θ that the ladder makes with the ground is given by

Respuesta :

Angle θ that the ladder makes with the ground is given by sin ⁻¹ (y/5)

Given,

height of ladder = 5 foot

distance between top of wall and ground = y

As it forms the right-angled triangle so,

θ is given by sin,

As we know

sin θ = Altitude / hypotenous

we are given altitude = y,

hypotenous = 5 foot

sin θ = y / 5

θ = sin ⁻¹ (y/5)

What is sine θ?

In a Right-angled triangle, the sine function or sine theta is defined as the ratio of the opposite side to the hypotenuse of the triangle. In a triangle, the Sine rule helps to relate the sides and angles of the triangle with its circumradius(R).

The sine of an angle of a right-angled triangle is the ratio of its altitude (that is opposite to the angle) to the hypotenuse.

To learn more about sine θ from the given link

https://brainly.com/question/2491845

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