Hot-Air Balloon While taking a ride in a hot-air balloon inNapa Valley, Francisco wonders how high he is. To find out,he chooses a landmark that is to the east of the balloon andmeasures the angle of depression to be 54°. A few minuteslater, after traveling 100 feet east, the angle of depressionto the same landmark is determined to be 61°. Use thisinformation to determine the height of the balloon.
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Hot-Air Balloon While taking a ride in a hot-air balloon in
Napa Valley, Francisco wonders how high he is. To find out,
he chooses a landmark that is to the east of the balloon and
measures the angle of depression to be 54°. A few minutes
later, after traveling 100 feet east, the angle of depression
to the same landmark is determined to be 61°. Use this
information to determine the height of the balloon.
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