# Trigonometry. QuestionA 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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Expert Answers

jeew-m | Certified Educator

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.**