Question

A kite is held fast by a taut line 220 feet long. If the line makes an angle of 21°40¢ with the horizontal, how high is the kite above the ground when its line is fastened to a post 6 feet above the ground?

Answer 1

Answer on question 34176 – Math – Geometry

A kite is held fast by a taut line 220 feet long. If the line makes an angle of $21{}^{\circ}40{}^{\circ}$ with the horizontal, how high is the kite above the ground when its line is fastened to a post 6 feet above the ground?

Solution

The height is $x + 6$. Using the definition of sine we can find the $x$ from the right triangle

$$x = 220 \sin 21{}^{\circ}40 \approx 81.23.$$

Therefore, $h = x + 6 \approx 87.23$ feet.

Answer: 87.23 feet.

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