We assume that the hill is represented by points ACD and the ski lift is represented by points BCD. From the description above, points CDB would have an angle of 90 degrees. Then, we would have:
sin (32) = CD / 960
CD = 508.72
tan 32 = 508.72 / AD
AD = 814.13
Therefore, the distance would be 814.13 - 508.72 = 305.4 ft.
Answer: 25, 31 and 37
Step-by-step explanation:
(2n-1)= 19, 21, 23, 25, 27, 29, 31, 33, 35, 37
(3n+1)= 19, 22, 25, 28, 31, 34, 37,
Answer: 54.88 mph
Step-by-step explanation: the Doppler effect formulae is given below as
f' = (v + vo) /(v - vs) × f
Where f' = observed frequency = 236 Hz,
f = frequency of sound source (stationary frequency) = 253 Hz.
v = speed of sound in air = 761 mph
Since the car (source) is moving away relative to the observer, vs will have a negative value (-vs)
vo = 0 mph ( since the observer is not moving)
By substituting the parameters, we have that
236 = (761+0)/(761 - (-vs)) × 253
236 = (761/ 761 +vs) × 253
By cross multiplication, we have that
236 × (761 +vs) = 761 ×253
761 + vs = 761 ×253/ 236
761 + vs = 192533/ 236
761 + vs = 815.88
vs = 815.88 - 761
vs = 54.88 mph
