You decide on Talisman Mountain Resort. To reach the top of the mountain at this resort, skiers
must take two lifts. The first lift takes skiers from the base of the mountain to the transfer point. It
travels 2200 m up the side of the mountain at an angle of inclination of 48°. The second lift takes
skiers from the transfer point to the mountaintop. It travels 1500 m up the side of the mountain at an
angle of inclination of 41°. How high is the top of the mountain? Label diagram and show all
work.

Respuesta :

Based on the angle of inclination and the distance up the side of the mountain, the height of the top of the mountain is 2,619 m.

What is the height of the mountain?

The Sin formula can be used here.

For the first lift, the Sin formula shows:

Mountain height till first lift / Distance traveled = Sin (angle of inclination)

Mountain height / 2,200 = Sin 48°

Mountain height first lift = 2,200 x Sin 48°

The second lift:

Mountain height second lift = 1,500 x Sin 41°

The total height is:

= (2,200 x Sin 48°) + (1,500 x Sin 41°)

= 2,619 meters

Find out more on the Sin formula at https://brainly.com/question/11542878.

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