Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 66° when the bottom of the ladder is 16 ft from the side of the house
<em>Let 'C' be the point of observation.</em>
Given CA= 16 ft
<em> From right angle triangle</em>
<em> </em>
x = 16 × cos 66°
x = 16 × 0.4067
x = 6.5077
<em> x = 6.5 ft</em>
<em>The length of the ladder = 6.5 ft</em>
Answer:
0.0625 hours per dollar
Step-by-step explanation:
Answer:
B) The slope of q must be the negative reciprocal of the slope of n.
<span>9 feet, 2 inches
First thing to do is determine how high above the ground Mumford's eyes are. The proportions for an adult human is that their height is about 7.5 heads tall (this includes the head), so Mumford's head is about (7*12)/7.5 = 11.2 inches tall. The eyes are about centered vertically on the head, so Mumford's eyes are about 5.6 inches from the top of his head. So his eyes are about 7*12 - 5.6 = 84 - 5.6 = 78.4 inches from the ground. Once Mumford backs up and is able to see the goal in the mirror, he's created 2 similar right triangles. One of the triangles is the distance from the mirror to Mumford and the height of Mumford's eyes from the ground. The other triangle is the distance from the mirror to directly underneath the goal and the height of the goal. They're similar triangles since the angle of incidence of a light ray matches the angle of reflection. So let's do the math. First, the 6 feet and 10 feet measurements are multiplied by 12 to convert to inches. So we have 72 inches and 120 inches. Let's set up the equation and solve:
72/78.4 = X/120
120*72/78.4 = X
110.2040816 = X
Let's round to the nearest inch giving 110 inches. And converting to feet and inches gives 9 feet, 2 inches.</span>
