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loris [4]
2 years ago
14

Imagine that you are standing on the ground 15 feet away from a flagpole. if the top of the flag is 25 feet high, which equation

represents the angle θ your feet make with the top of the flag?

Mathematics
2 answers:
AURORKA [14]2 years ago
6 0
Tan theta = 25/12, so
theta = tan^-1 (25/15)

vovikov84 [41]2 years ago
3 0

Answer: Hence, the angle of elevation with the top of the flag is 59° and

And the equation would be \theta=\tan^{-1}(\dfrac{AB}{BC})

Step-by-step explanation:

Since we have given that

Height of top of the flag = 25 feet

Distance of the base of flagpole from the person standing on the ground = 15 feet

We need to find the angle of elevation θ :

Consider ΔABC,

\tan \theta=\dfrac{AB}{BC}\\\\\tan\theta=\dfrac{25}{15}\\\\\tan \theta=1.67\\\\\theta=\tan^{-1}(1.67)\\\\\theta=59^\circ

Hence, the angle of elevation with the top of the flag is 59°.

And the equation would be

\theta=\tan^{-1}(\dfrac{AB}{BC})

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