Answer:
the height of the tree is <em>15.49 m</em>
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Step-by-step explanation:
Step 1:
From the figure, we can determine ∠ATB by using the fact that the sum of all the angles in a triangle add up to 180°:
∠ ATB = 180° - 98° - 20°
∠ ATB = 62°
Step 2:
Therefore, using the law of sines, we can determine the height of the tree.
TB / sin(20°) = 40 / sin(62°)
TB = 40 × (sin(20°) / sin(62°))
<em>TB = 15.49 m </em>
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Therefore, the height of the tree is <em>15.49 m</em>
Answer: sqrt(19)/10
Step-by-step explanation:
sinx=0.9
x=arcsin(0.9)
Insert x for cos(x):
cos(arcsin(0.9)=
Use identify
, so

Sorry if this is confusing.
Step-by-step explanation:
in this situation
A+B =D
Answer:
\frac{2x^2}{3} =24
Step-by-step explanation:
times both sides by 3
2x²=72
divide both sides by 2
x²=36
sqrt both sides
x=+/-6
x=-6 or 6
-6<6 so -6 is the smallest solution
Answer:
16.73 to nearest hundredth.
Step-by-step explanation:
The geometric mean of x and y is √xy.
So out geometric mean is √(14*20)
= √280
= 16.7332