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Check the picture below.
let's recall that a straight-line has 180°, and that sum of all interior angles in a triangle is also 180°.
Answer:
Height of flag pole to the nearest foot is 43 feet
Step-by-step explanation:
In the diagram we have flag pole AB and C is the point on the ground.
It is given that angle of depression is 30°
and the distance of the point C from the base B is 75 feet
so we have
BC= 75 feet
∠C = 30°
AB= h feet
now in right ΔABC
now we plug AB= h , ∠C= 30° and BC =75
( multiply both sides by 75)
Height of flag pole to the nearest foot is
h= 43 feet
Recall the inclusion/exclusion principle:
which means
which means