Find the altitude of an isosceles triangle with base 4.24 feet. The vertex angle of the triangle measures 85°

floymdiT

floymdiT

Answered question

2021-05-09

Find the altitude of an isosceles triangle with base 4.24 feet. The vertex angle of the triangle measures 85°

Answer & Explanation

Elberte

Elberte

Skilled2021-05-10Added 95 answers

Let xx be the altitude of the isosceles triangle. Consider half of the triangle which is a right triangle having an angle of 85/2=42.5 whose adjacent side is the altitude xx and the side opposite is half the base 4.242=2.12 feet.

Using tangent ratio, we can write: tan42.5=opp/adj=2.12/x

x=2.12/tan42.5

Use a calculator in DEGREE mode: x2.32 feet

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