You need to stabilize a flagpole by string in a guy-wire from the top of a flagpole to the ground. The pole is 15 feet tall and

Question

11 days ago

9

angle of elevation is 70 degrees. Using trig ratios calculate how much wire is needed

2 answers:

AnnZ [9K] · Answer 1 · 2026-03-17T02:09:05+03:00

AnnZ [9K]11 days ago

7 0

Sinα=h/w

From that, w=h/sinα. Knowing that h=15 ft and α=70° yields

w=15/sin70° ft

w≈15.96 ft (rounded to the nearest hundredth of a foot).

zzz [9K] · Answer 2 · 2026-03-17T02:09:55+03:00

Response:

The necessary length of wire is:

15.9625 feet

This scenario can be represented using a right triangle where the side opposite the 70-degree angle measures 15 feet.

Here, we need to calculate the amount of wire needed, that is, the hypotenuse of the right triangle.

Using the sine trigonometric ratio, we proceed as follows:

$\sin 70=\dfrac{15}{x}\\\\i.e.\\\\x=\dfrac{15}{\sin 70}\\\\i.e.\\\\x=\dfrac{15}{0.9397}\\\\i.e.\\\\x=15.9625\ feet$