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alina1380 [7]
3 years ago
10

the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre

e to 36 degree calculate correct to three significant figure the height of the pole
Mathematics
1 answer:
Mama L [17]3 years ago
4 0

Step-by-step explanation:

(A) Let a triangle be formed with height of pole h, length of base b and angle of elevation 58°. (Due to lack of a figure).

Tan 58° = h / b = 1.6

(B) Let another triangle be formed with height of pole h, length of base (b + 90) and angle of elevation 36°. (Due to lack of a figure).

Tan 36° = h / (b + 90) = 0.72

(C) <u>Simplifying the two equations</u> :

1.6b = 0.72b + 64.8

b = 64.8 / 0.88 = 73.6 m

h (height of pole) = 1.6 * 73.6 = 117.76 m

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