ANSWER MARKED BRAINLYEST
Al has an appointment with a client. He drives 54 miles due west from his office. Then, he turns northeast and drives 90 miles. His final destination is directly north of his office. Which client did Al meet?
Client - Distance North from Office (in miles)
AdLine Inc. - 36
Creative Potential - 54
Gearing Studio - 72
WillCom - 105
A. AdLine Inc.
B. Creative Potential
C. Gearing Studio
D. WillCom
Answers
Step-by-step explanation:
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Answer:
Al meet option c - Gearing studio -72
Step-by-step explanation:
Given: Al drives 54miles to the west of his office.
and then turns northeast and drives 90miles.
his final destination is north of his office.
Client and distance north from his office in miles ; AdLine-36,Creative Potential-54,Gearing Studio-72,WillCom-105.
To find: which client did Al meet?
solution :
from the given instruction , we get a right angled triangle shape when Al reaches his final destination.
suppose he starts from A ,A being his office ,drives 54 miles to the west of his office. Let the place be B.
then he turns north east and drives 90 miles reaching the final destination ,let it be C, which is quite north to his office.
so we get aright angled triangle ABC.
By Pythagoras theorem, BC² = AB²+AC²
90²= 54² +AC²
8100 =2916+ AC²
AC² =8100-2916 = 5184
AC = √5184 =72
∴The distance between Al's final destination and his office is72miles .
Also the final destination is directly north of his office, reaching Gearing Studio , thus forming a right angled triangle shape of path.
the correct answer is option .C-Gearing Studio.
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