A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 18° with the horizontal. The flagpole casts a 12-meter shadow up the slope when the angle of elevation from the tip of the shadow to the sun is 19°. What is the height of the pole?

height = 9.28m

Step-by-step explanation:

Sum of angle in a triangle = 180°

To find the third angle, we have

180° = 71° + 62° + α

180° = 133° + α

α = 180° - 133°

α = 47°

To find the height use sine rule

h/sin47° = 12/sin 71°

h(sin71°) = 12sin47°

h = 12sin47° / sin71°

h = 12(0.7314) / 0.9455

h = 8.7768/0.9455

h = 9.28m

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explanation: