2 years ago

MIDDLE SCHOOL

Mathematics

1 answer:

evablogger [386]2 years ago

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Really fr ikr geez la we zz

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An observer 2.5 miles from the launch pad of a space shuttle measures the angle of elevation to the base of the shuttle to be 25

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Answer:

Height of shuttle at that instant = 1.17 miles

Step-by-step explanation:

Refer the given figure.

C is the position of rocket and B is the position of observer.

Here we need to find AC, that is the height of shuttle at that instant.

Using trigonometric rules on ΔABC, we have

$tan25=\frac{AC}{AB} \\\\tan25=\frac{AC}{2.5}\\\\AC=2.5\times tan25\\\\AC=1.17miles$

Height of shuttle at that instant = AC = 1.17 miles

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