<span>(a.)
Let's say α is the angle that subtends from the top of the screen to horizontal eye-level.
Let β be the angle that subtends from the bottom of the screen to horizontal eye-level.
tanα = (22 + 10 - 4) / x = 28/x
α = arctan(28/x)
tanβ = (10 - 4) / x = 6/x
β = arctan(6/x)
Ɵ = α - β
Ɵ = arctan(28/x) - arctan(6/x)
(b.)
tanƟ = tan(α - β) = (tanα - tanβ) / (1 + tanα tanβ)
tanƟ = (28/x - 6/x) / [1 + (28/x)(6/x)]
tanƟ = (22/x) / [1 + (168/x²)]
tanƟ = 22x / (x² + 168)
Ɵ = arctan[22x / (x² + 168)]</span>
Answer:
x-intercept=(-1,0) y-intercept =(0,-3)
Step-by-step explanation:
Answer: (v-14) (v+4)
Step-by-step explanation: find something that multiplies to -56 but adds/subtracts to 10. I got -14 and 4. Those are your factors.
Answer:
104
Step-by-step explanation:
8x3=24 then you carry over the 2 and 8x1=8 and 8+2=10 so the awnser is 104
Answer: 2.325 meters
Step-by-step explanation:
The roof of a lean-to-garden shed has a gradient of 0.35.find the height....they have given the base as 1.5m and a shorter height 1.8m its like a house
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It sounds like you have a right triangle with base = 1.5,
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Use a proportion to get:
(height of that triangle)/1.5 = 35/100
height of that triangle = 1.5*0.35 = 0.5250
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greater height of the lean-to = 1.8 + 0.5250 = 2.325 meters
