Answer:
Height of the streetlight ≈ 8 ft(nearest foot)
Step-by-step explanation:
The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.
The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .
ab = 5.6 ft
The ratio of the base sides = 24/34
The ratio of the heights = 5.6/x
The two ratio are equal Therefore,
24/34 = 5.6/x
24x = 5.6 × 34
24x = 190.4
divide both side by 24
x = 190.4/24
x = 7.93333333333
x ≈ 8 ft
Height of the streetlight ≈ 8 ft(nearest foot)
Answer:
y = -8x -3
Step-by-step explanation:
To find the y intercept of a basic y = mx + b equation you simply find the constant (In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number). To find the slope of a basic y = mx + b equation find the value of m. The value of m will be the slope.
Answer:
62 degrees
Step-by-step explanation:
Check the answer below its correct(or above)
2/3- divide both numerator and denominator by its common factors which in this case is 4 (following this would get you 2/3)
4/6- divide both numerator and denominator by its common factor which in this case is 2 (following this would get you 4/6)
16/24- multiply both the numerator and denominator by 2