Answer:
The length of GE is 4.9ft
Explanation:
In this question, we are asked to calculate the length of GE
Kindly note that since one of the angles in the triangle is equal to 90°, this means that we are dealing with a right angled triangle.
Please, kindly check the attachment for the diagram.
Firstly, since it is a right-angled triangle, we identify the following.
The hypotenuse is the length EF, the opposite is the length FG while the adjacent is the length GE
To calculate the GE which is the adjacent, we employ the use of trigonometric identities.
Since we are dealing with the adjacent and the opposite, the correct trigonometric identity to use is the tangent
Mathematically, by definition, the tangent of an angle = length of the opposite/length of the adjacent
With specific reference to the question at hand;
⇒ Tan 59° = 8.1/GE
GE = 8.1/Tan 59° = 4.9ft (to the nearest tenth of a foot