Answer:
<2 = 121
Step-by-step explanation:
Consecutive exterior angles add up to 180 degrees.
You need this key result: in any polygon, the sum of the interior angles is

where
is the number of sides of the polygon.
Your polygon has seven sides, and the measures of all angles are given. So, we can write

Again, we've simply written that the sum of all interior angles is the number of sides, minus two, times 180.
We can simplify both sides: we sum like terms on the left hand side, and we easily compute the right hand side:

and we can solve this equation for
by dividing both sides by 30:

Finally, the required angles is 
Answer:
The answer to your question is 55 ft
Step-by-step explanation:
Data
Person's height = 5 ft
Person's shadow = 10 ft
Tree's height = ?
Tree's shadow = 110 ft
- Use the Thales' theorem to solve this problem
Person's height / Person's shadow = Tree's height / Tree's shadow
- Substitution
5 / 10 = x / 110
-Solve for x
x = 5 (110) / 10
-Simplification
x = 550 / 10
-Result
x = 55 ft
-Conclusion
The tree is 55 ft height
Answer:
0.72
Step-by-step explanation:
Answer:
The correct answer is option a
Sin A = 2√13/13
Cos A = 3√13/13
Tan A = 2/3
Step-by-step explanation:
From the figure we can see that,a right angled triangle.
ΔABC
<u>To find side AB
</u>
AB = √(AC)² + (BC)² =√(36² - 24² )= √1872
AC = 12√13
<u> To find the trigonometric ratio
</u>
Sin A = BC/AB = 24/12√13 = 2√13/13
Cos A = AC/AB = 36/ 12√13 = 3√13/13
Tan A = BC/AC = 24/36 = 2/3