Finding missing angle. PLEASE HELP ME!
1 answer:
Answer:
x=147°
Step-by-step explanation:
1. Analyze: The angle opposite to the 33 degree angle is 33 degrees because they are vertical angles.
2. Make an equation: The sum of all four angles (x, the angle opposite of x, the 33 degree angle, and the angle opposite of the 33 degree angle) is 360°. Therefore the equation would be (33°x2)+2x= 360°.
3. Solve for x:
a. Multiply 33 by 2
66+2x=360
b. Subtract 66 from both sides
66+2x=360
-66 -66
2x=294
c. Divide both sides by 2
x=147
4. Remember to add your label- the degree sign (°)
x=147°
You might be interested in
Answer:
The distance from point A to the top of the building is 5 feet
The Height of the Skyscraper is 5 feet
Step-by-step explanation:
Given
Let Top point of building be point C
Also Let Base of the building be point B
Distance from point A to base B of the building AB= 5 feet
∴ It makes a Right angle triangle
Also ∠ACB = 45°
Also tan 45° = 1
Now tan ∠ACB =
∴ AB= BC =5 feet
The Height of the Skyscraper is 5 feet
Now Triangle ABC is right angle triangle with right angled at B
So by Pythagoras theorem
AC=
The distance from point A to the top of the building is 5 feet