7-111. write the following number trick as an expression in two ways one with parentheses and one without.
1 answer:
You might be interested in
Answer:
0.7246 radians
Step-by-step explanation:
According to the Question,
Given that, a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches
- The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
d = √{ (12)² +(15)² } = √(144+225) = √369inches
- The tangent of the angle is the ratio of the height of the box to this length
Tan∅ = 17/√369
Taking the , we have
∅ = (17/√369) ≈ 0.7246 radians
ANSWER
By simplifying the left hand side using the Pythagorean Identity.
EXPLANATION
The given identity is
Take the left hand side and simplify to get the right hand side.
Collect LCM for the denominators.
Recall the Pythagorean Identity.
This implies that:
We substitute this to get,