Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
Answer:
length of one leg of the triangle is 64 cm.
Step-by-step explanation:
Given : The hypotenuse of a 45°-45°-90° triangle measures 128 cm.
To find : What is the length of one leg of the triangle.
Solution : We have given that hypotenuse of a 45°-45°-90° triangle measures 128 cm.
By the 45°-45°-90° triangle rule ,
Perpendicular sides (legs) are equal .
Hypotenuse = √2 × either perpendicular side ( leg ).
128 = √2 × leg .
We can write 128 as 64 √2 and substitute in above
64√2 = √2 leg.
On dividing by √2 both sides and switching sides.
leg = 64 cm .
Therefore, length of one leg of the triangle is 64 cm.
9514 1404 393
Answer:
152°
Step-by-step explanation:
If two pairs of congruent angles total 360°, then the different angles must total 180°. The other angle measure is 180° -28° = 152°.
The measure of each angle in the other congruent pair is 152°.
One way to write a ratio is 5:8 or 5 to 8 and <u>5</u>
8
