Answer:
The ladder has to be 65 feet long to the nearest foot.
Step-by-step explanation:
The height of the chimney from the ground is the sum of the height of the wall and the height of the chimney.
Therefore, the height of the chimney from the ground = (30 + 33) = 63 feet.
Now, the ladder makes a right triangle with the ground and the chimney and the ladder makes an angle of 75.5° with the ground.
Therefore, using trigonometry we can write,
⇒ The length of the ladder = 65 feet.
Hence, the ladder has to be 65 feet long to the nearest foot. (Answer)
Answer:
Slope: 7/3 | Y Intercept: -11
Step-by-step explanation:
To translate this equation into a slope-intercept form equation, we can subtract 14x on both sides. This leaves us with: -6y = -14x + 66.
Now, all that is preventing us from putting it into the correct from is -6, so we can simply divide -6 on both sides. Using this operation, we get: y = 14x/6 + -11. The coefficient of x in this problem stands for slope, so the slope is: 14/6 or 7/3. The constant stands for y intercept, so that is -11.
Hope you understood and do well!
Answer:
m∠2 = 40°
Step-by-step explanation:
Because the 2 lines are parallel, that means ∠1 and ∠2 are corresponding angles. Using the Corresponding Angles Theorem, m∠1 = m∠2. Therefore, m∠2 is 40°.