Point Z is at a horizontal distance of 15 meters from the left- most point of the dam . What is the height of the dam at point Z?

Complete Question:

The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.

Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?

The height is 36 meters

Step-by-step explanation:

Given

Required

The interpretation of the question is to determine the value of y when x = 15

Substitute 15 for x in:

The height is 36 meters

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: