Please help me solve this thanks
1 answer:
Answer:
A
Step-by-step explanation:
let r represent rate and d distance.
Given that r varies directly as d² then the equation relating them is
r = kd² ← k is the constant of variation
To find k use the condition r = 4 when d = 15, then
4 = k × 15² = 225k ( divide both sides by 225 )
k =
r = d² ← equation of variation
When r = 9, then
9 = d² ( multiply both sides by 225 )
2025 = 4d² ( divide both sides by 4 )
506.25 = d² ( take the square root of both sides )
d = = 22.5 = 22
→ A
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Answer:
Distance from the base of the cliff to the point on the ground = 7608 feet
Step-by-step explanation:
Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.
To find: distance from the base of the cliff to the point on the ground
Solution:
In ΔABC,
(Alternate interior angles)
For any angle ,
side opposite to angle/side adjacent to angle
Put
Distance from the base of the cliff to the point on the ground = 7608 feet
Step-by-step explanation:
Remember when expanding radicals,
When expanding radicals into two radicals, we don't let our radicand have two negative answers.
We don't do this