A guy wire 80 feet long it attached to the top of a radio tower, making an angle of 25 degrees with the ground. How high is the tower?
2007-07-25 23:23:34 · 3 answers · asked by journey 1 in Science & Mathematics ➔ Mathematics
Use trig, draw a diagram.
Let x be height of tower.
sin 25 = x/80
x = 80 sin 25
x = 33.8 ft approx
2007-07-25 23:31:23 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Trigs is the best way to answer this
Sine of an angle is the opposite side divided by the hypothenuse.
Use trig, draw a diagram.
Let h be height of tower.
sin 25 = h/80
h = 80 sin 25
h = 33.8 ft approx
so the height of the tower is about 33.8 ft
Have a good day :)
2007-07-26 07:48:23 · answer #2 · answered by Money Power R 2 · 0⤊ 0⤋
sinθ = y / r
sin25 = y / 80
Multiply both sides by 80
80sin25 = 80(y/80)
80sin25 = y
80(4226182620) = y
33.80946094 = y
33.81 feet rounded to two decimal places
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2007-07-26 06:49:22 · answer #3 · answered by SAMUEL D 7 · 0⤊ 0⤋