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:
AB = 8/ cos 60
Step-by-step explanation:
We want to find the hypotenuse AB
Since we have a right triangle
cos theta = adj/ hyp
cos 60 = 8/ AB
AB cos 60 = 8
AB = 8/ cos 60
B because it is (2x)(2x) which is equal to 4x^2
Answer:⬛️=.667 (.66 repeating)
Step-by-step explanation) you can set up the equation:
3x=2y
(using x for squares and y for circles).
we know the value of the circles is 1, so plug 1 in for y
3x=2(1) , simplify
3x=2
now get x by itself by dividing both sides by 3
x=2/3
x=.66
Answer:
the answer is the second one i think
Step-by-step explanation: