3 years ago

Do you guys know how to do this I am struggling and need help?

Mathematics

1 answer:

Oksanka [162]3 years ago

3 0

Answer:

i think its 234

Step-by-step explanation:

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A guy wire makes a 65° angle with the ground. walking out 37 feet further from the tower, the angle of elevation to the top of t

kicyunya [14]

Let's call the height of the tower $h$ and the distance from the 65 degree angle to the base of the tower $d$ .

We get two equations:

$\tan 65^\circ = \dfrac h d$

$\tan 39^\circ = \dfrac{h}{d+37}$

$h = d \tan 65^\circ = (d+37) \tan 39^\circ$

$d(\tan 65 - \tan 39) = 37 \tan 39$

$d = \dfrac{37 \tan 39}{\tan 65 - \tan 39}$

$h = d \tan 65 = \dfrac{37 \tan 39 \tan 65}{\tan 65 - \tan 39}$

$h \approx 48.1 \textrm{ feet}$

Answer: 48

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