<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:
Step-by-step explanation:
Given
Required
Convert to base 10
To do this, we make use of the following logarithm laws;
In the given parameters;
Substitute these values in
Represent as a ratio
Hence;
is represented as
Answer:
25.55
Step-by-step explanation:
Let us take the number he thinked of be x .
<u>On </u><u>doubling</u><u> </u><u>it </u><u>:</u><u>-</u><u> </u>
→ N = 2x
<u>On </u><u>adding</u><u> </u><u>1</u><u>9</u><u> </u><u>:</u><u>-</u><u> </u>
→ N = 2x + 19
<u>According</u><u> to</u><u> Question</u><u> </u><u>:</u><u>-</u><u> </u>
→ 2x + 19 = 70.1
→ 2x = 70.1 - 19
→ 2x = 51.1
→ x = 51.1/2
→ x = 25.55
<h3>
Hence the required answer is 25.55</h3>
Answer:
already in order
Step-by-step explanation:
.00001, .0002, .003, .04, .5
Answer:
? = 120°
Step-by-step explanation:
the central angle is the same as the arc that subtends it , that is
? = 120°
