For a ladder to be stable the angle that is makes with the ground should be no more than 78 degree and no less then 73 degrees. What are the minimum and maximum safe distances from the base of the laser to the wall

Question

03-01-2024
Mathematics

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For a ladder to be stable the angle that is makes with the ground should be no more than 78 degree and no less then 73 degrees. What are the minimum and maximum safe distances from the base of the laser to the wall

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surefresh95 surefresh95 · Answer 1 · 2024-01-03T07:12:05+01:00

Answer:

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Step-by-step explanation:

Given that the angle should be no more than 78 degrees and no less than 73 degrees, we can use trigonometry to calculate the distances.

Let's assume the distance from the base of the ladder to the wall is represented by "x".

To find the minimum safe distance, we use the tangent function:

tan(73 degrees) = height of the wall / x

Rearranging the equation, we get:

x = height of the wall / tan(73 degrees)

Similarly, to find the maximum safe distance, we use the tangent function again:

tan(78 degrees) = height of the wall / x

Rearranging the equation, we get:

x = height of the wall / tan(78 degrees)

By substituting the appropriate values for the height of the wall, you can calculate the minimum and maximum safe distances from the base of the ladder to the wall.