3 years ago

Please help

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

7 0

B should be your answer. 125-360= -235

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The Capilano Suspension Bridge to North Vancouver is the world’s highest footbridge of its kind. The bridge is 140m long. From t

Aleks04 [339]

See the attached picture to better understand the problem

we know that
in the right triangle ABC
tan 48=AC/AB--------> AC=AB*tan 48-----> AC=x*tan 48-----> equation 1

in the right triangle ACD
tan 41=AC/AD-----> AC=AD*tan 41------> AC=(140-x)*tan 41----> equation 2

equate equation 1 and equation 2

x*tan 48=(140-x)*tan 41----> x*tan 48=140*tan 41-x*tan 41
x*[tan 48+tan 41]=140*tan 41
x=140*tan 41/[tan 48+tan 41]-----> x=61.468 m

find AC
AC=x*tan 48-----> AC=61.468*tan 48----> AC=68.27 m----> AC=68 m

the answer is
68 m