![kordejah348](/avatars/19764.jpg)
kordejah348
01.12.2021 •
Mathematics
How to simplify trigonometric expressions.
Solved
Show answers
More tips
- F Family and Home How to Raise a Genius? Discover the Secrets Here...
- F Food and Cooking How to Properly Cook Buckwheat?...
- H Health and Medicine How to Tan in a Tanning Bed? Tips and Recommendations...
- S Style and Beauty How to Sew a Balloon Skirt: Detailed Tutorial and Tips on Choosing the Right Fabric...
- P Philosophy Personal attitude towards Confession: how to prepare and undergo the procedure correctly?...
- F Food and Cooking How to Make Cottage Cheese at Home: Simple and Quick Recipe with Step By Step Instructions...
- H Health and Medicine Which Water Are You Drinking? Is it Worth Buying Bottled Water?...
- H Health and Medicine What Makes a Man a Man?...
- H Health and Medicine What to Take with You to the Maternity Hospital?...
- F Food and Cooking What Foods Can Nursing Moms Eat?...
Answers on questions: Mathematics
- M Mathematics Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3...
- M Mathematics Factor the polynomial using the greatest common factor. 4x9 + 3x2. 2x...
- M Mathematics Samples of size 60 are drawn from a large population known to have a mean of 78 and a standard deviation of 12. What proportion of these samples would we expect to have a mean...
- M Mathematics Jacob has $100 in his savings account. The interest rate is 5% per year. How much interest will he earn in 1 year?...
- M Mathematics Tripp swims 50 laps a day in hopes of becoming a collegiate swimmer. Write an equation to represent y, the total number of laps Tripp has swam after x days....
- M Mathematics The equation P = -.21t2 + 2.08t + 22.96 models the population of a town, P, measured in thousands of people. If t represents the number of years after 1996, then what is the estimated...
- M Mathematics The sum of three-fourths of s, one-sixth of d, and 2...
- M Mathematics 1/8 = 2/5 times X . What is X...
- M Mathematics Well it didn’t upload the 1st time...
- M Mathematics Use the graph below to answer the following question: During which month is the animal population the highest? * Seasonal Changes in an Ecosystem Max. Animal Population Seasonal...
Ответ:
11.62468045 or 11.6 to 1 decimal place
Step-by-step explanation:
→ We need to utilise trigonometry. The first step would be to list out the formula triangles
Tan = Opposite ÷ Adjacent
Sin = Opposite ÷ Hypotenuse
Cos = Adjacent ÷ Hypotenuse
→ Now we need to know which triangle to use, we do that by identifying the side or length we are not given in the triangle and then finding a formula without the name of the given side. First let's identify all the sides.
Opposite = AC = 16
Adjacent = BC = We need to find this out
Hypotenuse = AB = No given value
→ Now we look for a formula with hypotenuse
Tan = Opposite ÷ Adjacent
→ The (Tan = Opposite ÷ Adjacent) is the formula we are going to be using. Since we want to find out the adjacent, we have to rearrange to get adjacent as the subject
Adjacent = Opposite ÷ Tan
→ Now we identify the Opposite and the Tan
Opposite = 16
Tan = 54°
Side note ⇒ Sin, cos and tan will always be the angles
→ Substitute in the values in the formula
Adjacent = Opposite ÷ Tan ⇔ Adjacent = 16 ÷ Tan (54) ⇔ Adjacent = 11.6
→ The adjacent is 11.6 to 1 decimal place