Answer:
You must be 65.3 ft. closer
Step-by-step explanation:
The first triangle has a length x along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 25 degrees.
By the definition of tangent:
tan(25)=50/x
Solve for x
x=50/tan(25)=107.225
The second triangle has a length y along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 50 degrees.
By the definition of tangent:
tan(50)=50/y
Solve for y
y=50/tan(50)=41.955
The difference between x and y is how much closer to the tree you must be.
x-y=65.27
