In this triangle what is the measure of the exterior angle 52?
2 answers:
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Solution :
It is given that Little Snail is going to visit one of his friend at the pond which is 3 miles away.
When the snail crawls 1/2 of a mile per day, it will take him,
= 6 days to get to the next pond.
When the snail crawls 1/3 of a mile per day, it will take him,
= 9 days to get to the next pond.
When the snail crawls 1/4 of a mile per day, it will take him,
= 12 days to get to the next pond.
When the snail crawls 3/4 of a mile per day, it will take him,
= 4 days to get to the next pond.
When the snail crawls 2/3 of a mile per day, it will take him,
= 4.5 days to get to the next pond.
Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse , perpendicular
, and base
; therefore, the Pythagorean theorem gives
which upon expanding we get:
further simplification gives
,
which is a quadratic equation with solutions
Since the first solution will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.