MATH SOLVE

3 months ago

Q:
# HELP ASAP! 1) the diagram shows equilateral triangle ABC sharing a side with square ABCDE. the square has side lengths of 4. What is the length of line BE? justify your answer. (in image)2) *In image*

Accepted Solution

A:

Answer:1) The length of BE ≅ 7.732) The beam clear the wires in its way to standing up straight because the length of the wire less than the height of the wires by 0.332Step-by-step explanation:Figure 1:∵ The equilateral Δ share the side of the square∵ The length of the side of the square = 4∴ The length of the side of the Δ = 4In Δ EAB:∵ AE = 4 and AB = 4∵ m∠A = 90 + 60 = 150°By using cos Rule:∵ (BE)² = (AE)² + (AB)² - 2(AE)(AB)cosA∴ (BE)² = (4)² + (4)² - 2(4)(4)cos150 = 59.71281∴ BE = 7.7274 ≅ 7.73Figure 2:∵ The beam makes ∠40° with the ground∵ The top of the beam is above ground by 8 ft∴ The length of the beam = 8/sin(40) = 12.446∵ The beam makes ∠60° with the ground∵ The length of the beam = 12.44579∴ The height of the top of the beam from the ground = 12.44579 × sin(60) = 10.77837∵ The height between the top of the beam and the wires in this position is 2∴ The height of the wires from the ground = 10.778 + 2 = 12.778∵ The length of the beam = 12.446∴ 12.446 < 12.778∴ The beam clear the wires in its way to standing up straight