Question

If the ladder extends to a length of 158 inches, what is the height of the house rounded to the nearest hundredth of an inch?

Answer 1

\[\sin 60 = \frac{ x }{ 158 }\] just use definition of sign in a right triangle

Answer 2

can you solve for x now?

Answer 3

no. i dont know how

Answer 4

put the value of sin 60= \[\sin 60 = \frac{ \sqrt 3 }{ 2 }\]

Answer 5

here 158 is the hypotenuse and x is the height of a right triangle...so i have used sin now..\[\frac{ \sqrt 3 }{ 2 }=\frac{ x }{ 158 }.....x=158*\frac{ \sqrt 3 }{ 2 }\] can you do it now?

Answer 6

but i dont get it .. like how is this finding the height.

Answer 7

ok wait

Answer 8

in the above figure sin 60 = x/158 that is \[\sin \theta = \frac{ length (x)}{hypotenuse (158) }\]

Answer 9

ohh

Answer 10

so now how do i solve it. i did sin 60 and got .866025404

Answer 11

now as i have stated above x= 158* 0.866025404

Answer 12

so thats my answer? .866?

Answer 13

no your answer would be .866*158=136.828 inches

Answer 14

thank you so much

Answer 15

:) YW