U do whats in the parenthesis first.....(2 / 12)....2 divided by 12
Answer:
128.67 feet
Step-by-step explanation:
We would be solving this question using the Trigonometric function of tan.
Tan( of the angle of elevation) = height of the tower ÷ height of the shadow.
Angle of elevation = 65°
Height of the tower = unknown, which is designated as X
Height of the shadow = 60 feet.
Therefore,
tan 65° = X/ 60 feet
We crossmultiply
X = tan 65° × 60 feet
X = 128.67041523 feet.
Approximately, X = 128.67 feet.
Therefore, the tower is 128.67 feet tall.
9 numbers of nickels
13 numbers of quarters
Answer:
∠ WXY = 20°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ XYZ is an exterior angle of the triangle, thus
10x - 5 = 3x + 17 + 3x + 2
10x - 5 = 6x + 19 ( subtract 6x from both sides )
4x - 5 = 19 ( add 5 to both sides )
4x = 24 ( divide both sides by 4 )
x = 6
Thus
∠ WXY = 3x + 2 = 3(6) + 2 = 18 + 2 = 20°
