Answered

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If the angle of inclination formed by an observer to an object kept above a tower is 45 degree. Find the horizontal distance between the observer when the height of the tower is 150ft

Sagot :

Ramoscarloslevi2idn

Answer:

150ft

Step-by-step explanation:

First we visualize the problem, by drawing the given

Let x be the horizontal distance

Using SOH CAH TOA

(In this problem we use tangent since the opposite is given and we are looking for the height which is the adjacent)

tan(45°) = 150/x

1 = 150/x

x = 150ft

Thus, the horizontal distance is 150ft

(Notice that the triangle formed by the 45° inclination is an isoceles right triangle, which also explains how the opposite and adjacent are both 150ft)

View image Ramoscarloslevi2
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