Wires are attached to a pole to make it more secure. The diagram shows one of those wires having a length of 220 feet. The angle of elevation from the ground to the top of the pole is 36. What is the height of the pole?

Question

pooja195 · Answer

sin(36)=h/220ft
220ftsin(36) = h
h=129.3 ft answer//

Answer is

pooja195 · Answer

129.3ft

jim_thompson5910 · Answer

First draw it out

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jim_thompson5910 · Answer

now the side h is completely opposite angle 36 degrees

the length 220 is opposite the largest angle, so it's the hypotenuse (since it's the longest side)

jim_thompson5910 · Answer

so

sine = opposite/hypotenuse

sin(36) = h/220

and you follow the steps pooja195 wrote out, but I'll write them again

220*sin(36) = h

h = 220*sin(36)

h = 129.312755504344 <<--- use a calculator here

jim_thompson5910 · Answer

If you don't have a calculator, you can type "220*sin(36 degrees)" without quotes into google to get this https://www.google.com/search?hl=&q=220*sin%2836+degrees%29&sourceid=navclient-ff&rlz=1B3GGLL_enUS420US420&ie=UTF-8 to get the same answer