Question

Geometry. BE is a tangent to CDE is a secant of circle p. What is the length of BE, rounded to the nearest m?

Answer 1

BE ≈ 92 m

Explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the external part of the secant and the entire secant, that is

BE² = 59(59 + 83) = 59 × 142 = 8378 ( take the square root of both sides )

BE =
`√(8378)` ≈ 92 m ( to the nearest metre )