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rustalex6045
19.07.2020 •
Mathematics
A surveyor sights the far bank of a river at an angle of 110° to the near bank. She then moves 75 feet upriver and sights the same point on the far bank of the river at an angle of 150°. What is the shortest distance across the river? Please help. Will give brainliest.
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Ответ:
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.
Ответ:
angle 3 is 39
angle 8 is 141
angle 1 is 141
angle 4 is 141
angle 6 is 39
angle 5 is 141
Step-by-step explanation: