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Mathematics 13 Online
OpenStudy (anonymous):

from the top of a tower of height 75m, a man sees two goats, both due west from him. If the angles of depression of the two goats are 10° and 17°, calculate the distance between them

OpenStudy (kuoministers):

|dw:1359173851796:dw|

OpenStudy (kuoministers):

any idea how to find x? hint: use tan

OpenStudy (anonymous):

umm, is it: tan(10)=x/75

OpenStudy (kuoministers):

yes it is

OpenStudy (kuoministers):

so work that out and what do you get?

OpenStudy (anonymous):

425.35

OpenStudy (kuoministers):

umm how did you get that?

OpenStudy (kuoministers):

please show me your working out

OpenStudy (anonymous):

using a calculator i typed 75/tan(10)

OpenStudy (anonymous):

ohhhh wait

OpenStudy (anonymous):

i have to multiply by 75, don't i?

OpenStudy (kuoministers):

:)

OpenStudy (kuoministers):

yes

OpenStudy (anonymous):

haha, oops :)

OpenStudy (kuoministers):

so answer would be?

OpenStudy (anonymous):

13.23

OpenStudy (anonymous):

and y=22.93

OpenStudy (kuoministers):

yep both correct

OpenStudy (kuoministers):

and then distance would be?

OpenStudy (anonymous):

yay! thank you so much :)

OpenStudy (anonymous):

so the answer is 9.7, right?

OpenStudy (kuoministers):

yep :)

OpenStudy (anonymous):

thanks :)

OpenStudy (kuoministers):

\[\Huge{\color{Purple}{\\{\ \boxed{\mathbb{\text{}{}}{\color{green}{\color{blue}T{\color{purple}H{\color{pink}A{\color{red}NK{\color{orange}S}}}}}}}}}} \] \[\Huge{\color{Purple}{\\{\text{}{}}{\color{green}{\color{blue}By{\color{purple}e}}}}} \]

OpenStudy (anonymous):

haha, bye

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