A guy wire which is 14m long is fastened from the ground to a pole 6.7m above the ground. Find the angle the wire makes with the ground.
2007-10-21 20:33:39 · 3 answers · asked by angilyn c 1 in Science & Mathematics ➔ Mathematics
You can use the law of sines to find the angle. The sine of an angle divided by its opposing side is the same as the sine of a different angle on the same triangle divided by its opposing side.
(Sin 90) / 14 = (Sin x) / 6.7
Here, solve for x and that is your answer--the angle the wire makes with the ground.
Sin x = ((Sin 90) / 14) * 6.7
Sin x = (0.893996664 / 14) * 6.7
Sin x = 0.427841261
(Sin x)^-1 (the inverse sin of x) = 25.330638955845135
x = 25.330638955845135 degrees
2007-10-21 20:51:54 · answer #1 · answered by Jean-Francois 5 · 0⤊ 0⤋
Here x is angle made with the ground. Then sin x = Opposite side/ hypotenuse = 6.7 / 14 = 0.4786
From sin angle tale sin 28 = 4695 and sin 29 = 0.4848
Find the exact value from logarithm book
angle is 28.36 degree.
2007-10-22 04:49:58 · answer #2 · answered by Pranil 7 · 0⤊ 1⤋
61.4 degrees. Now get busy and learn how to use those trig functions.
Doug
2007-10-22 03:50:54 · answer #3 · answered by doug_donaghue 7 · 0⤊ 1⤋