5: A party planner is trying to hang a sign between a house and a palm tree for someone's birthday party. The party planner knows that the house is 8 feet tall. In order to get the sign to hang at the same exact height on the tree, the party planner looks up at an angle of elevation of 54° How long must the sign be in order for the party planner to hang the sign up between the house and the palm tree?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1GP
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4: Two ships are currently sailing towards the port in a nearby city. Located at the edge of the port is a
lighthouse which guides the ships. From the furthest ship from the port, a person looks up to the top of
the lighthouse with an angle of elevation of 20% From the closest ship from the port, a person looks up
to the top of a lighthouse with an angle of elevation of 40°. The distance between the two ships is 200m
and the closest ship is 500m from the port. How tall is the lighthouse?
y all
a pictur
e what
It a
o trig.
Sin
Sin
Sin?
GUm com
5: A party planner is trying to hang a sign between a house and a palm tree for someone's birthday party.
The party planner knows that the house is 8 feet tall. In order to get the sign to hang at the same exact
height on the tree, the party planner looks up at an angle of elevation of 54 How long must the sign be
in order for the party planner to hang the sign up between the house and the palm tree?
42 m
que
He
ang
6: On a baseball diamond, the distance between each base is 90 feet. Imagine the catcher needs to throw
to the second baseman at second base to throw someone out stealing. How far must the catcher throw to
second base to get the runner out given the angle from home plate to second base is 45 degrees?
Si
Si
Transcribed Image Text:4: Two ships are currently sailing towards the port in a nearby city. Located at the edge of the port is a lighthouse which guides the ships. From the furthest ship from the port, a person looks up to the top of the lighthouse with an angle of elevation of 20% From the closest ship from the port, a person looks up to the top of a lighthouse with an angle of elevation of 40°. The distance between the two ships is 200m and the closest ship is 500m from the port. How tall is the lighthouse? y all a pictur e what It a o trig. Sin Sin Sin? GUm com 5: A party planner is trying to hang a sign between a house and a palm tree for someone's birthday party. The party planner knows that the house is 8 feet tall. In order to get the sign to hang at the same exact height on the tree, the party planner looks up at an angle of elevation of 54 How long must the sign be in order for the party planner to hang the sign up between the house and the palm tree? 42 m que He ang 6: On a baseball diamond, the distance between each base is 90 feet. Imagine the catcher needs to throw to the second baseman at second base to throw someone out stealing. How far must the catcher throw to second base to get the runner out given the angle from home plate to second base is 45 degrees? Si Si
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