Brad built a snowboarding ramp with a height of 3.5 feet and an 18° incline. What is the length of the ramp?

1 Answer
Jan 28, 2018

#11.33" feet to 2 dec. places"#

Explanation:

#"consider the right triangle with "h=3.5" and x the "#
#" length of the ramp being the hypotenuse"#

#"then using the "color(blue)"trigonometric ratio"#

#•color(white)(x)sintheta ="opposite"/"hypotenuse"#

#"here opposite"=3.5" and "theta=18^@#

#rArrsin18^@=3.5/x#

#rArrx xxsin18^@=3.5#

#rArrx=3.5/(sin18^@)~~11.33" feet to 2 decimal places"#