7x^2 + 14x − 105plzzz helllp
1 answer:
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Answer:
<u>8,764.53 feet</u>
Step-by-step explanation:
See the attached figure which represents the question.
Let the distance between campsite and the base of the mountain = d
The total height = 6842 + 5.6 = 6,847.6 feet.
As shown at the graph, the angle x and the depression angle are alternate angles, so they are congruent.
∴∠x = 38°
tan x = opposite/adjacent = (total height)/d = 6847.6/d
So, d = 6847.6/tan x
= 6847.6/tan 38° = 8,764.53 feet (to the nearest hundredth)
so, the distance between campsite and the base of the mountain = 8,764.53 feet
