A ladder, leaning against a wall, makes an angle of 20° with the ground. The foot of the ladder is 3 m from the wall. How long is the ladder?

Question

Mathematics

Rachel Marks

15 December, 18:21

A ladder, leaning against a wall, makes an angle of 20° with the ground. The foot of the ladder is 3 m from the wall. How long is the ladder?

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Answers (1)

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Brayden Mcdonald · Answer 1

0.136m

Step-by-step explanation:

This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 20 = 3/h. You divide cos (20) by 3 and you get the answer of 0.13602m.