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# Soh-Cah-Toa Mountain

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## Derek Magpantay

on 9 December 2012

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#### Transcript of Soh-Cah-Toa Mountain

Group 1 SOH-CAH-TOA Mountain Task 1
Using your trigonometric skills, calculate the steepness of each run by finding its angle of elevation. Group 1 Dare Devil Drop

sin C = 3/4.24 cm
= 0.71
= sin C^-1 (0.71)
= 45°
sin D = 3/4.24 cm
= 0.71
= sin D^-1 (0.71)
= 45° -1 Bobsled Bop

sin B = 3/5.23
= 0.51
= sin B^-1 (0.51)
= 31°
sin C = 5/5.83
= 0.86
= sin C^-1 (0.86)
= 59° Avalanche Alley
sin D = 6/6.71
= 0.89
= sin C^-1 (0.89)
= 63°
sin E = 3/6.71
= 0.45
= sin E^-1 (0.45)
= 27° Thunder Run
sin F = 5/5.82
= 0.86
=sin F^-1 (0.86)
= 59°
sin E = 3/5.82
=0.52
=sin E^-1 (0.52)
= 31° Slow Sam
hyp = 6.36 cm
shorter leg = x = 6.36/2 = 3.18 cm
longer leg = x(√3) = 5.51 cm

sin A = 3.18/6.36
= 0.5
=sin ^-1 (0.5)
= 30°
sin B = 5.51/ 6.36
= 0.87
= sin^-1 (0.87)
Sohcahtoa Mountain has an altitude of 800m. It is one of several that form the Scalenes Mountain Range. The mountain to the east of Sohcahtoa Mountain has a higher altitude. George Geometer was taking a break from skiing and was basking in the sun at the top of Sohcahtoa Mountain. He wondered how much higher the eastern mountain was. He was able to see down to the base of the mountain at an angle of 41° and look up to the peak at an angle of 27°. y = opposite of 27°
y = 180° - (90° + 27°)
= 180° - (117°)
= 63° a= distance from top of
Sohcahtoa Mountain to Eastern Peak
tan 41° = 800m/a
a = 800/tan 41°
a= 920.29 m x = opposite of 41°
x= 180° - (90° + 41°)
= 180° - 131°
= 49° b = missing height of eastern peak
tan 27° = b/920.29m
920.29(tan 27°) = b
b = 468.91m C = height of Eastern Peak
C = b + 800m
C = 468.91m + 800m