Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
Answer:
d = Nc + x
Step-by-step explanation:
Given
N = 
Multiply both sides by c to clear the fraction
Nc = d - x ( add x to both sides )
Nc + x = d
Answer: 30° and 110°
55° and 85°
70° and 70°
The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:
= 180° - 40°
= 140°
Therefore,
30° + 110° = 140°
55° + 85° = 140°
70° + 70° = 140°
Answer:
Step-by-step explanation:
In order to add or subtract numbers in scientific notation, the powers of ten must have the same exponent. In this caes the diameter of an average human body cell is a power of -4 and the diameter of a plant cell is a power of -3. In order to add them, we can move the decimal over for the body cell diameter:
Add the two values: 
3 months, 96 plus 78x3 = 330 (78x3=234+96) 110X3=330 meaning it is 3 months
