Question

Priya has planted a garden shaped like a right triangle. One leg of the triangle is 5 meters long, and the triangle formed by it and the hypotenuse is 50 grades. If Priya wants to build a fence around her garden, how many meters of fence will she need?

Answer 1

Perpendicular = 6 meter (Approx.)

Length of fence required = 18.81 meter

Explanation:

Given:

One side of triangle = 5 m

Angle with side and hypotenuse = 50°

Find:

Other sides

Length of fence required

Computation:

Using trigonometry function;

Tanθ = Perpendicular / Base

For 50° angle , 5 m is base

Tan 50 = Perpendicular / 5

1.1917 = Perpendicular / 5

Perpendicular = 5.9585

Perpendicular = 6 meter (Approx.)

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √6² + 5²

Hypotenuse = √36 + 25

Hypotenuse = √61

Hypotenuse = 7.81 meter (Approx.)

Length of fence required = 5 + 6 + 7.81

Length of fence required = 18.81 meter