Answer:
Correct answer is 54.82 ft.
Step-by-step explanation:
First of all, let us label the diagram and do the construction as per the attached answer image.
Let us consider :
Let side AB = d ft and let side BC = x ft
We need to find AB to find the shortest distance across the river.
Using trigonometric identity of tangent:
Now, let us have a look at another right angled triangle ABD:
Let us consider :
side AB = d ft and side BD = x+75 ft
Using trigonometric identity of tangent:
Correct answer is 54.82 ft.