Answer: the height of the building is 40ft
Step-by-step explanation:
Looking at the right angle triangle formed,
With angle P as the reference angle, the length shadow of the building on ground represents the adjacent side of the right angle triangle.
The height of the building represents the opposite side of the right angle triangle.
a) to determine the height of the building, x, we would apply the tangent trigonometric ratio which is expressed as
Tan θ, = opposite side/adjacent side. Therefore, the equation becomes
Tan P = x/50
b) 0.8 = x/50
x = 50 × 0.8
x = 40 ft
m₁ = mass hanged initially = 0.2 kg
x₁ = initial stretch in the spring = 8 cm = 0.08 m
k = spring constant of the spring
the weight of the mass hanged is balanced by the spring force by the spring hence
Spring force = weight of mass hanged
k x₁ = m₁ g
k (0.08) = (0.2) (9.8)
k = 24.5 N/m
m₂ = mass hanged later = 0.5 kg
x₂ = final stretch in the spring = ?
k = spring constant of the spring = 24.5 N/m
the weight of the mass hanged is balanced by the spring force by the spring hence
Spring force = weight of mass hanged
k x₂ = m₂ g
(24.5) x₂ = (0.5) (9.8)
x₂ = 0.2 m = 20 cm
Convert the decimal by multiplying by 100.<span>625<span>%
</span></span>
<span>Convert to a fraction by placing the decimal number over a power of 10</span>.<span>254</span><span>
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Answer:
Ok, I did this unit a little while ago but I think I solved it:
Hyp = 16
Opp = 8
Adj = 13.856
0 = 30 degrees
Step-by-step explanation:
You were on the right track, with the sin = opp/hyp, you just have to follow the equation given. So if sin = 8/16, then opp = 8 and hyp = 16 due to the transitive theorem.
Now you have to use the pythagorean theorem for the third side (adj), so:
a^2 + 8^2 = 16^2
The answer would be around 13.856 (round to what's required.)
Finally, you have to find 0. basically, since you're finding an angle measure, use the inverse of sin. the equation would look like this:
sin-1(0)=8/16
so on your calculator, you should put:
sin-1(8/16)
the angle measure is 30, meaning its a 30 60 90 triangle.
