P. Ervic calculates the angle of elevation to the peak of Mt. Malamig to be 35°. 4. As he walks 1200 feet closer, the angle of elevation becomes 42°, What is the altitude of the mountain?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.4: Applications
Problem 18PS: Solve each of the following problems. In each case, be sure to make a diagram of the situation with...
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How to solve for 4?
Use the Law of Sines in solving the following word problems. Basic diagrams are provided as guide.
Round off your answers to the nearest tenth.
An airship is sighted at the same time by two observers. The first observer
is at the top of a 650-foot tower, while the second observer is at the base of
the same tower. Find the distance, d, of the airship from the first observer if
the angles of elevation are 31° and 51°. Also find the height, h, of the airship.
(Schwartz, 2007)
1.
Two radar stations 450 feet apart are monitoring the same boat located in
between them. From the first station, the angle to the boat is 67°. From the
2.
second station, the recorded angle is 63°. Find the distance, dị, of the boat
from the first station and the distance, d, of the boat from the shore.
A satellite orbiting the Earth passes directly over two tracking stations, which
are 72 miles apart. When the satellite is on one side of the two stations, the
3.
angles of elevation from each station measure 78° and 86°. How high is the
satellite above the ground? (Lippman & Rasmussen, 2017)
Ervic calculates the angle of elevation to the peak of Mt. Malamig to be 35°.
As he walks 1200 feet closer, the angle of elevation becomes 42°, What is the
4.
altitude of the mountain?
A bridge is to be built across a small lake from a gazebo to a dock. The bearing
from the gazebo to the dock is S41°W. From a tree that is 100 meters from
5.
the gazebo, the bearings to the gazebo and the dock are S74°E and S28°E,
D
respectively. Find the distance from the gazebo to the dock. (Larson, 2014)
Two ships leave a port at the same time. The bearing of the first ship is N70°E
and the bearing of the second is N110 E. After two hours, the two ships are
P.
6.
30 miles apart, and the path of the first ship subtends an angle of 42° at the
point where the second ship is. Find the distance travelled by the second ship.
1:39 PM
06/05/2022
Transcribed Image Text:Use the Law of Sines in solving the following word problems. Basic diagrams are provided as guide. Round off your answers to the nearest tenth. An airship is sighted at the same time by two observers. The first observer is at the top of a 650-foot tower, while the second observer is at the base of the same tower. Find the distance, d, of the airship from the first observer if the angles of elevation are 31° and 51°. Also find the height, h, of the airship. (Schwartz, 2007) 1. Two radar stations 450 feet apart are monitoring the same boat located in between them. From the first station, the angle to the boat is 67°. From the 2. second station, the recorded angle is 63°. Find the distance, dị, of the boat from the first station and the distance, d, of the boat from the shore. A satellite orbiting the Earth passes directly over two tracking stations, which are 72 miles apart. When the satellite is on one side of the two stations, the 3. angles of elevation from each station measure 78° and 86°. How high is the satellite above the ground? (Lippman & Rasmussen, 2017) Ervic calculates the angle of elevation to the peak of Mt. Malamig to be 35°. As he walks 1200 feet closer, the angle of elevation becomes 42°, What is the 4. altitude of the mountain? A bridge is to be built across a small lake from a gazebo to a dock. The bearing from the gazebo to the dock is S41°W. From a tree that is 100 meters from 5. the gazebo, the bearings to the gazebo and the dock are S74°E and S28°E, D respectively. Find the distance from the gazebo to the dock. (Larson, 2014) Two ships leave a port at the same time. The bearing of the first ship is N70°E and the bearing of the second is N110 E. After two hours, the two ships are P. 6. 30 miles apart, and the path of the first ship subtends an angle of 42° at the point where the second ship is. Find the distance travelled by the second ship. 1:39 PM 06/05/2022
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