Find the answer then square it.
1 answer:
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Get all on one side
add 9x+4 both sides
4x^2+9x+4=0
use quadratic formula
in form
ax^2+bx+c=0
x=
a=4
b=9
c=4
x=
x=
x=
x=
or 
aprox
x=-1.64039 or -0.6096
add 9x+4 both sides
4x^2+9x+4=0
use quadratic formula
in form
ax^2+bx+c=0
x=
a=4
b=9
c=4
x=
x=
x=
x=
aprox
x=-1.64039 or -0.6096
Dividing the given equation by 25 we get:
Applying the natural logarithm to the above equation we get:
Finally, solving for x we get:
Answer: Option A.
Answer:
54.8 feet
Step-by-step explanation:
We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram below.
This can be found using the Law of Sines.
∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.
∠MPH is the difference in the angles of elevation, so is 28°.
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The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...
PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)
Multiplying by MH, we can find the length of PH:
PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft
PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.
