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:
Step-by-step explanation:
We are going to use the identity
because this identities right hand side matches your expression where
and 
.
So we have that 
is equal to .
<u>Solution:</u> 48cm/s^2
<u>Working:</u>
A = s^2
Derivate s^2 (as it is area formula) which gives
dA/dt = 2s dL/dt
dL/dt = 6cm/s
Hence,
2(6) = 12
Side: 4cm
Hence,
dA/dt = (4)(12) = 48cm/s^2
<em>Feel free to mark this as brainliest :D</em>
Answer:
2(x+4)
Step-by-step explanation:
