Austin asked Jeremy how far from the building the base of the ladder was. Jeremy did the problem and showed his work below. Aust
in thinks you should find c, the hypotenuse whereas Jeremy thinks you should find b. Find the distance between the ladder and house. Round to the nearest tenth if possible.
1 answer:
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Let p represent the number of bags to be bought
We need to collect 30 stickers and each bag has 3 stickers
3p = 30
↑ ↑
Number of stickers in a bad Number of stickers to be collected
= 
p = 10
We need to buy 10 bags of crisps to have 30 stickers
Let p represent the number of bags to be bought
We need to collect 30 stickers and each bag has 3 stickers
3p = 30
↑ ↑
Number of stickers in a bad Number of stickers to be collected
p = 10
We need to buy 10 bags of crisps to have 30 stickers
Answer:
Step-by-step explanation:
Let , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations:
(3)
By the quadratic formula, we find the following solutions:
and
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:
By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:
Then, the values of the cosine associated with that angle is:
Now, we have that , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)
If we know that and
, then the value of the function is: