Frank sights a balloon in the air at an angle of elevation of 66 degree . the horizontal distance from frank to the balloon is 19 feet how far up in the air is the ballon ? (round to the nearest tenth)

9514 1404 393

  42.7 ft

Explanation:

The applicable trig relation is ...

  Tan = Opposite/Adjacent

In this geometry, the leg of the right triangle adjacent to the angle of elevation is the horizontal distance to the balloon. The opposite leg is the vertical height of the balloon, which we're being asked to find.

  tan(66°) = height/(19 ft)

  height = (19 ft)tan(66°) ≈ 42.67 ft

The height of the balloon is about 42.7 feet.

i would expect light rain in pittsburgh throughout the following 24 to 48 hours. the lower/falling weights in urban areas toward the west demonstrate that a low weight framework is moving from west to east toward pittsburgh. low weight frameworks are ordinarily connected with precipitation. the way that you don't see a major drop in temperature in the more western urban areas demonstrates the low weight framework is moving with a warm front, so just light rain would be normal. substantial downpours or progressively vicious climate is just typically connected with chilly fronts, where the warm air is pushed up and over a cool front quickly. this quickly rising air (convection) is what gives you heavier torrential downpours, and other conceivably serious weather conditions.