Answer:
z= 38°
Step-by-step explanation:
z= 90(from right angle)+52=142
180-142=38°
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
I'd say
Put one end of the compass on point P and the other end on point Q.
This way, you can construct (part of) a circumference with radius PQ with center P.
If you connect point P with any point on the circumference, this segment will be another radius of the circumference, and thus congruent to PQ.
An inequality describes a relationship between two different values. The notation a<b means that a is strictly smaller in size than b , while the notation a>b means that a is strictly greater than b .
