Question

Does anyone know the answer to this word problem?

Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly looks up to see the top of the lighthouse is y°.

a.find the height, h, of the lighthouse.

b.Find the angle, rounded to the nearest tenth of a degree, in which Kelly looks up to the top of the lighthouse.

c.To the nearest tenth of a degree, find the value of x° . In two or more sentences, explain your calculations

Answer 1

do Pythagorean therom to find height

Answer 2

oh sorry I know the height already

I just dont know the formula

Answer 3

...
for the other two

Answer 4

a2+b2=c2

Answer 5

tan Θ = opposite/adjacent

Answer 6

x + y + 135 = 180 [ASP of a triangle]
x + tan^(-1) 7 + 135 = 180
x = 180 - ( 135 + tan^(-1) 7 )

Answer 7

the calculator have me this for your formula 0.4877325886

Answer 8

gave*

Answer 9

for which value? and is your calculator in degree mode?

Answer 10

Yes. And that's absolutely correct. Because that is in radians and your question's measure of angle is in degrees.

Answer 11

so y = 48 then

Answer 12

no. what did you enter?

Answer 13

did you do \[\tan^{-1} \frac{ 14 }{ 26 }\]

Answer 14

oh no I just did reg tan

Answer 15

87.7 degrees

Answer 16

It seems like you're not entering something right on your calculator.
http://www.wolframalpha.com/input/?i=tan^-1%2814%2F26%29

Answer 17

idk I will just use that calculator from now on

Answer 18

ok, so y = 28.3°