A firefighter holds a hose \( 2 m \) off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of \( 14 m / s \) at an angle of \( 30 ^ { \circ } \) . The height of the water can be approximated by \( h ( x ) = - 0.025 x ^ { 2 } + 0.529 x + 2 \) , where \( h ( x ) \) is the height of the water in meters at a point \( x \) meters horizontally from the firefighter to the building. Part: \( 0 / 3\) (a) Determine the horizontal distance from the firefighter at which the maximum height of the water occurs. The water reaches a maximum height when the horizontal distance from the firefighter to the building is approximately m. Round to \( 1 \) decimal place.
Pregunta
Answer
x = 10.6 m
Related Questions
Q:
A linear function that models data is described below. Find the slope of the model. Then describe what this means in terms of the rate of change of the dependent variable per unit change in the independent variable. The linear function \( f ( x ) = - 0.41 x + 28.6 \) models the percentage of adults in a country who smoked cigarettes, \( f ( x ) \) , \( x \) years after \( 1997 \) .
The slope is \( \square \) . (Type an integer or a decimal.)
Q:
Use the quadratic formula or completing the square to determine the greater solution to
\( x ^ { 2 } + 4 x + 2 = 0 \) . Round your answer to the nearest hundredth. Record your answer and fill in the bubbles on your answer document.