10. A 50-ft ladder leans against a building so that the base of the ladder is 15 feet from the
1 answer:
By applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
<em><u>Recall:</u></em>
- Trigonometry ratios that can be used to solve a right triangle are: SOH CAH TOA.
- SOH represents: sin ∅ = Opp/Hyp
- CAH represents: cos ∅ = Adj/Hyp
- TOA represents: tan ∅ = Opp/Adj
The diagram attached below depicts the problem given.
∅ = x
Opp = 15 ft
Hyp = 50 ft
- Thus, applying the trigonometry ratio, SOH, we have:
sin x = 15/50
x =
x = 17.5°
In conclusion, by applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
Learn more about trigonometry ratio on:
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Answer:
Distance between the surface and source of light will be increased by 6 meters.
Step-by-step explanation:
The illuminance of a surface varies inversely with the square of ts distance from the light source.
Let illuminance of the surface = x lumens per square meter
and distance from a light source = y meter.
Now x ∝
Or [k = proportionality constant]
Now we will find the value of k.
k = xy²
k = 120×(6)²
k = 4320
We have to calculate the distance of the source if illuminance of the surface is 30 lumens per square meter.
y² =
y² = 144
y = √144 = 12 meters
So the source of the light will be shifted away from the surface = 12 - 6 = 6 meters.