(GEOMETRY HELP PLEASE! ) A ladder leans against a house at a 60° angle to the ground.

House with a ladder measuring 166 inches forming a right triangle. The base angle formed by the ladder is 60 degrees.

If the ladder extends to a length of 166 inches, what is the height of the house rounded to the nearest hundredth of an inch? Type the numeric answer only

Question

(GEOMETRY HELP PLEASE! ) A ladder leans against a house at a 60° angle to the ground.

House with a ladder measuring 166 inches forming a right triangle. The base angle formed by the ladder is 60 degrees.

If the ladder extends to a length of 166 inches, what is the height of the house rounded to the nearest hundredth of an inch? Type the numeric answer only

anonymous · Answer

attachment

anonymous · Answer

@jim_thompson5910 Could you help me with this one please? :)

jim_thompson5910 · Answer

are you familiar with trigonometry?

anonymous · Answer

@jim_thompson5910 Yeah but It's still a little hazy

jim_thompson5910 · Answer

do you recall that 

sine = opposite/hypotenuse?

jim_thompson5910 · Answer

notice how the angle 60 is opposite the unknown side, so we can say

sin(60) = x/166

and

x = 166*sin(60)

anonymous · Answer

@jim_thompson5910 Oh okay! Would that be -50.5985?

jim_thompson5910 · Answer

make sure your calculator is in degree mode (not radian mode)

anonymous · Answer

@jim_thompson5910 I tried again and I got 143.76

jim_thompson5910 · Answer

good, I'm getting the same thing as well

anonymous · Answer

Ok good!! :) @jim_thompson5910 Thank you so much!

jim_thompson5910 · Answer

yw