# math

Two lookout stations, which are 25 miles apart along the coast on a north-south line, spot an approaching yacht. One lookout station measures the direction to the yacht at N 33degrees E, and the other station measures the direction of the yacht at S 62degress E. How far is the yacht from each lookout station? How far is the yacht from the coast?

1. 👍 0
2. 👎 0
3. 👁 81
1. Draw a diagram. If the northern station is at A, and the southern is at B, and the yacht is at C,

angle C is 180-62-33 = 85°

Using the law of sines,

a/sin62° = b/sin33° = 25/sin85°
a (distance from B) = 22.16
b (distance from A) = 13.67
distance from coast is a sin33° = b sin62° = 12.07

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### math

two look out situations, which are 25 miles apart along the coast on a north-south shoreline, spot an approaching yacht. One lookout station measures the direction to the yacht at N33 degrees E, and the other station measures the

asked by jay on March 7, 2010
2. ### trigonometry

2. two look out situations, which are 25 miles apart along the coast on a north-south shoreline, spot an approaching yacht. One lookout station measures the direction to the yacht at N33 degrees E, and the other station measures

asked by bill on March 8, 2010
3. ### geography

most known mineral deposits in the region are located: A)along thepacific coast and south of the equator B)along the atlantic coast and south of equator C)along the pacific coast and north of the equator D)along the atlantic coast

asked by henry on September 10, 2009
4. ### check geo

the use of haevy farm machinery tilling and clear cutting: A)allows farmers to reuse thier lands for decades B)causes rain forest to grow back in record numbers C)has been banned in most parts of the region scince 1995 D)causes

asked by henry on September 10, 2009
5. ### Social Studies

Based on the map, why might some southerners feel the Missouri compromise favored the north? A. There was foreign threat south of the line. B. There was less farm land south of the line. C. There was more territory north of the

asked by datt.one.girl on December 4, 2018
6. ### Math

You start a search for a buried object by marking the center of a filed as (0,0), with coordinates giving distances in yards. Coordinates to the north or east are positive and coordinates to the south or west are negative. You

7. ### Science ( just a little bit)

Which of the following characteristics of the arctic rabbit is specifically an adaption to the living in the tundra? ( my answer) B A) Small size B) Keen eyesight ***** C) Strong legs D) White fur do you think i can get the

asked by Minato Namakaze on January 22, 2018
8. ### Math

A distressed ship is 10 miles south and 8 miles east of a coast guard station. a) What bearing should the coast guard boat take to reach the distressed ship? b)How many miles will the coast guard boat travel? c)If the coast guard

asked by Andrew on January 6, 2015
9. ### Story Problem

Ann drove 8 miles east, 4 miles south, 3 miles east, 6 miles north, 7 miles west, and 5 miles south. How many miles, in each of the compass directions, is she now from her starting point?

asked by Smom on August 23, 2011