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Mathematics 22 Online
OpenStudy (hang254):

Can someone check my answer please? tan(15=.2679491924 22/.2679491924 ANSWER: 82.10511778 The distance between the end of a lamppost's shadow and the top of the lamppost is 22 feet. The angle measure of the shadow is 15°. How tall is the lamppost, rounded to the nearest tenth of a foot? Type the numeric answer only in the box below.

OpenStudy (hang254):

OpenStudy (hang254):

@lalaly can you please help me?

OpenStudy (lalaly):

\[\tan(\theta)=\frac{opposite}{adjacent}\]in this picture u have opposite and hypotenuse .. so which trig function do u think u should use?

OpenStudy (hang254):

sin

OpenStudy (lalaly):

exactly,, so \[\sin(15)=\frac{x}{22}\]

OpenStudy (hang254):

i got 85.001

OpenStudy (lalaly):

how did u get that?

OpenStudy (hang254):

sin(15=.258819051 22/.258819051=85.00147271

OpenStudy (lalaly):

no thats not how u do it \[\sin(15)=\frac{x}{22}\]now solve for x by cross multiplication\[\sin(15) \times 22=x\]\[x=5.694\]

OpenStudy (hang254):

oh, thank you

OpenStudy (lalaly):

:) ur welcome

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