A triangle is circumscribed within the lower semicircle shown. Use the law of sines to solve the triangle given the measures shown. How long is the longer chord? What do you notice about the triangle? 69. Height of a mountain: Exercise 69 Approaching from the west, a group of hikers notes the angle of elevation to the summit of a steep 35° 1250 m mountain is 35° at a 48° distance of 1250 meters. Arriving at the base of the mountain, they estimate this side of the mountain has an average slope of 48°. (a) Find the slant height of the mountain's west side. (b) Find the slant height of the east side of the mountain, if the east side has an average slope of 65°. (c) How tall is the mountain? 70. Distance on a map: Coffeyville and Liberal. Kansas, lie along the state's southern border and are roughly 298 miles apart. Olathe, Kansas, is Exercise 70 very near the state's eastern of border at an KANSAS Olathe angle of 23° with Liberal and 72° with Liberal Coffeyville 72° 23° 298 mi Coffeyville (using the southern border as one side of the angle). (a) Compute the distance between these cities (b) What is the shortest (straight line) distance at honn horde of Kancee
A triangle is circumscribed within the lower semicircle shown. Use the law of sines to solve the triangle given the measures shown. How long is the longer chord? What do you notice about the triangle? 69. Height of a mountain: Exercise 69 Approaching from the west, a group of hikers notes the angle of elevation to the summit of a steep 35° 1250 m mountain is 35° at a 48° distance of 1250 meters. Arriving at the base of the mountain, they estimate this side of the mountain has an average slope of 48°. (a) Find the slant height of the mountain's west side. (b) Find the slant height of the east side of the mountain, if the east side has an average slope of 65°. (c) How tall is the mountain? 70. Distance on a map: Coffeyville and Liberal. Kansas, lie along the state's southern border and are roughly 298 miles apart. Olathe, Kansas, is Exercise 70 very near the state's eastern of border at an KANSAS Olathe angle of 23° with Liberal and 72° with Liberal Coffeyville 72° 23° 298 mi Coffeyville (using the southern border as one side of the angle). (a) Compute the distance between these cities (b) What is the shortest (straight line) distance at honn horde of Kancee
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A triangle is
circumscribed within the lower semicircle shown.
Use the law of sines to solve the triangle given the
measures shown. How long is the longer chord?
What do you notice about the triangle?
69. Height of a mountain:
Exercise 69
Approaching from the
west, a group of
hikers notes the angle
of elevation to the
summit of a steep
35°
1250 m
mountain is 35° at a
48°
distance of 1250
meters. Arriving at the base of the mountain, they
estimate this side of the mountain has an average
slope of 48°. (a) Find the slant height of the
mountain's west side. (b) Find the slant height of
the east side of the mountain, if the east side has an
average slope of 65°. (c) How tall is the mountain?
70. Distance on a map: Coffeyville and Liberal.
Kansas, lie along the state's southern border and
are roughly 298 miles apart. Olathe, Kansas, is
Exercise 70
very near the
state's eastern
of
border at an
KANSAS
Olathe
angle of 23°
with Liberal
and 72° with
Liberal
Coffeyville 72°
23°
298 mi
Coffeyville
(using the
southern border as one side of the angle).
(a) Compute the distance between these cities
(b) What is the shortest (straight line) distance
at
honn horde of Kancee
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