Question #f1ab5

1 Answer
Jim G.
Apr 18, 2017

#6" feet"#

Explanation:

The triangle formed is a right triangle with an angle of #60^@#

The height of the tree house, at right angles to the ground is 5 feet and is #color(blue)"opposite"# the #60^@# angle.

The slide is the #color(blue)"hypotenuse"# of the triangle.

#"the "color(red)"trig. ratio"" related to "color(blue)"opposite/hypotenuse"# is #color(red)"sine"#

#"To calculate the hypotenuse ( length of slide-l)"#

#sin60^@=("opposite")/("hypotenuse")=5/l#

#rArrlxxsin60^@=5larr" cross-multiplying"#

#rArrl=5/(sin60^@)~~5.77" to 2 dec. places"#

#rArr" length of slide " =6" feet"rarr" to nearest foot"#

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