Question

A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 51 degrees. How high does the ladder reach up the side of the building? Please round your answer to 2 decimal places.

Answer 1

19.43 ft

Explanation:

Using SOHCAHTOA,

opposite = x

Hypothenus = 25ft

Sin α = opposite /Hypothenus

Sin 51° = x/25

x = 25(Sin51°)

x = 19.4286

x = 19.43(approximate to 2 d.p)