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.
Answer: The tower is 128.67 feet tall.
Step-by-step explanation:
Hi, the situation described forms a right triangle (see attachment)
So, we have to apply the next trigonometric function:
Tan (angle) = opposite / adjacent
Where the opposite side is the height of the tower (x)
Replacing with the values given:
Tan (65) = x / 60
Solving for x:
2.141406921 =x /60
2.141406921 (60) = x
128.67 = x
The tower is 128.67 feet tall.
Feel free to ask for more if needed or if you did not understand something.
