A pole 10 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After p
lacing the pole, Suav measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
2 answers:
You might be interested in
Answer:
The measurement of EF is 1.98 units
Step-by-step explanation:
In Δ DEF
∵ m∠E = 90°
∴ FD is the hypotenuse of the triangle
∵ m∠D = 26°
∵ EF is opposite to angle D
- We can use the sine ratio to find it
∵ sin D = ⇒ (opposite side / hypotenuse)
∵ FD = 4.5 units
∴ sin(26) =
- Multiply both sides by 4.5
∴ 4.5 sin(26) = EF
∵ sin 26° ≈ 0.44
∴ 4.5(0.44) = EF
∴ 1.98 = EF
The measurement of EF is 1.98 units