Question

Nathan is standing in a meadow, exactly 185 feet from the base of El Capitan. At 11:00 a.m., he observes Emily climbing up the wall and determines that his angle of sight up to Emily is about 10°.
a. If Nathan’s eyes are about 6 feet above the ground, about how high is Emily at 11:00 a.m.?

b. At 11:30 a.m., Emily has climbed some more, and Nathan’s angle of sight to her is now 25°. How far has Emily climbed in the past 30 minutes?

c. If Emily climbs 32 feet higher in ten more minutes, at what angle will Nathan have to look in order to see Emily.

Answer 1

Answer:

A) 38.62 ft

B) 92.27 ft

C) 32.59 ft

Step-by-step explanation:

A) tan10= x/185

X= 32.62 + 6ft= 38.62ft

B) tan25= x/185

X= 86.27 + 6ft= 92.27ft

C) 92.27 - 6ft= 86.27

86.27+ 32=118.27

use inverse of tan tan-1= 118.27/185 in which you get 32.59ft