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Lera25 [3.4K]
3 years ago
11

A tree 4.7 m tall casts a shadow 8.2 m long. Calculate the angle of elevation of the sun.

Mathematics
1 answer:
EleoNora [17]3 years ago
3 0

Answer:

9.45

Step-by-step explanation:

A^2 + B^2 = C^2

4.7^2 + 8.2^2 = C^2

22.09 + 67.24 = C^2

89.33 = C^2

Square Root It

C = 9.45

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Value of peters house has risen 20% a year for the last three years. If the value of peters home three years ago was $120 thousa
notka56 [123]

Answer:

The value now = $207,360

Step-by-step explanation:

Rate of increase = 20% per year = 20/100 = 0.2 per year

value 3 years ago = $120,000

interest at year 1:

20% of 120,000

= 0.2 × 120,000 = 24,000

Value at the end of year 1

= initial value + interest

= 120,000 + 24,000 = $144,000

In year 2:

20% of 144,000

= 0.2 × 144,000 = 28,800

Value at the end of year 2:

144,000 + 28,800 = $172,800

In year 3

0.2 × 172,800 = 34,560

Value at the end of year 3:

34,560 + 172,800 = $207,360

8 0
3 years ago
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determin
KengaRu [80]
Infinite number of solutions. x=4 and x=8
7 0
3 years ago
What is the next value 1I2L3F4
zmey [24]
The given terms can be divided into two sections. First section is for the numbers and the second one for the letters.

1st section:    1, 2, 3, and 4
2nd section:    I, L, F


I is the 9th letter in the alphabet, L is the 12th letter, and F is the 6th letter in the alphabet. 

The pattern observed:
                    I to L:    12 - 9 = 3
                    L to F:    6 - 12 = -6

Next letter should be +9. This means that the letter should be 9 places higher than F. The letter should be O which is the 15th letter. 
3 0
3 years ago
the cost of fencing a rectangular field at rupees 30 per metre is rupees 2400 if the length of the its field is 24m than its bre
prohojiy [21]

Answer:

breadth = 8, length = 32

Step-by-step explanation:

perimeter = 2 x (length x breadth)

                = 2 x ((24 + b) + b))

                = 2 x (24 + 2b)

                = 48 + 4 b

48 + 4b meters costs rupees 2400

each meter costs rupees 30

so,

30 x (48 + 4b) = 2400

1440 + 120b    = 2400

           120b    = 960

                 b    = 8

the breadth is 8m, the length is 8 + 24 = 32m

3 0
3 years ago
Twenty percent of what number is 9?
vampirchik [111]

Answer:

C

Step-by-step explanation:

There are 100%. When divided by 5 you get twenty percent. 9 times 5 equals 45.

3 0
4 years ago
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