coreyscott1281
01.07.2020 •
Mathematics
TRIGNOMETRY: Faisal is 30m from a flagpole. The angle of elevation of its top is 12.4° and the angle of depression of the bottom is 2.1°. Find the height of the flagpole, correct to 3 significant figures.
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Ответ:
7.698 m
Step-by-step explanation:
From the question,
Faisal's distance to the flagpole = 30 m
angle of elevation of its top = 12.4°
angle of depression of its bottom = 2.1°
Thus, the height of the flagpole is divided into two parts. Let the upper part be represented by x and the lower part by y.
From the triangle of the upper part (elevation), we have;
tan 12.4° =
x = 30 × tan 12.4°
= 30 × 0.2199
= 6.597 m
From the triangle of the lower part (depression), we have;
tan 2.1° =
y = 30 × tan 2.1°
= 30 × 0.0367
= 1.101 m
The height of the flagpole = x + y
= 6.597 + 1.101
= 7.698 m
The height of the flagpole is 7.698 m.
Ответ:
3:5
Step-by-step explanation:
For every 12 red cards, Bob has 20 green cards
Ratio 12:20
Simplified (divide each by 4)
Ratio 3:5
For every 3 red cards, Bob has 5 green cards