The ladder

The ladder has a length of 3 m and is leaning against the wall, and its inclination to the wall is 45°. How high does it reach?

Result

h =  2.121 m

Solution:

A=45  B=90A=9045=45  c=3 m  sinB=h:c  h=c sinB  h=c/2=3/22.1213=2.121  m A = 45 \ ^\circ \ \\ B = 90 - A = 90 - 45 = 45 \ ^\circ \ \\ c = 3 \ m \ \\ \ \\ \sin B = h:c \ \\ \ \\ h = c \cdot \ \sin B \ \\ \ \\ h = c / \sqrt{ 2 } = 3 / \sqrt{ 2 } \doteq 2.1213 = 2.121 \ \text { m }



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Following knowledge from mathematics are needed to solve this word math problem:

Pythagorean theorem is the base for the right triangle calculator. See also our trigonometric triangle calculator.

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