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Trigonometry. QuestionA ladder leaning against a wall reaches a height of 10m up the...

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paulbarton | (Level 1) Honors

Posted November 4, 2012 at 12:05 AM via web

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Trigonometry. Question

A ladder leaning against a wall reaches a height of 10m up the wall and makes an angle of 75 degrees with the ground. What is the length of the ladder?

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted November 4, 2012 at 2:26 AM (Answer #1)

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Let us say the point touching the ground in ladder is A, the point of ladder that touch the wall is B and the point of bottom of wall as C.

According to the data given;

`BC = 10m`

`angleBAC = 75 deg`

Length of ladder `= AB`

 

By the geometry;

`sinA = BC/AB`

`sin75 = 10/AB`

   `AB = 10/sin75`

   `AB = 10.353`

 

So the length of ladder is 10.353m.

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