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Complex Word Problems with Trigonometry @.SRT.8 Wkst 4)
Guide
7
building. 300 feet from the base of the building, the angle of elevation to the top of the
poleis 32'andtheangleof elevationtothebottomofthepoleis 30'. Determinethelengthof theftagpote(to
the nearest foot).
1. A flagpole is at the top of a
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Complex Word Problems with Trigonometry (G.SRT.B Wkst 4)
Guide
2
On a sightseeing trip to Paris, Betty spots the spire of a cathedr al at 22 and Cathy spots the same spire at 30'
two girls are 310 feet apart, determine the height of the spire (to the nearest foot)?
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G.SRT.8 WORKSHEET #4
NAME: _______________________________ PERIOD: ________
1
For each problem, first complete the diagram and then solve for the requested information.
1. From an apartment window 24 m above the ground, the angle of depression of the base of a nearby
building is 38°° and the angle of elevation of the top is 63°°. Find the height of the nearby building (to the
nearest meter).
2. A flagpole is at the top of a building. 400 ft from the base of the building, the angle of elevation of the
top of the pole is 22°° and the angle of elevation of the bottom of the pole is 20°°. Determine the length of
the flagpole (to the nearest foot).
3. From a lighthouse 1000 ft above sea level, the angle of depression to a boat (A) is 29°°. A little bit later the
boat has moved closer to the shore (B) and the angle of depression measures 44°°. How far (to the nearest
foot) has the boat moved in that time?
4. Two trees are 100 m apart. From the exact middle between them, the angles of elevation of their tops
are 12°° and 16°°. How much taller is one tree than the other (2 decimal places)?
G.SRT.8 WORKSHEET #4
2
5. A firefighter on the ground sees the fire break through a window. The angle of elevation to the
windowsill is 32°°. The angle of elevation to the top of the building is 40°°. If the firefighter is 72 ft from the
building, what is the distance from the roof to the window sill?
6. Jack and Jill are on either side of the church and 50 m apart. Jack sees the top of the steeple at 40°° and
Jill sees the top of the steeple at 32°°. How high is the steeple?
7. Jack and Jill are 20 m apart. Jack sees the top of the building at 30°° and Jill sees the top of the building at
40°°. What is the height of building?
NAME: L/Y;
G.SRT.8 WORKSHEET #4
For each problem, first complete the diagram and
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thei solve for the requested information.
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1. From an apartment window 24 m above the ground, the angle of depression of the base of a nearby
building is 38o and the angle of elevation of the top is 63o. Find the height of the nearby building (to the
nearest meter).
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2. A flagpole is at the top of a building. 400 ft from the base of the building, the angle of etevation of the
top of the pole is 22" and the angle of elevation of the bottom of the pote is 20o. Determine the length of
the flagpole (to the nearest foot).
3. From a lighthouse 1000 ft above sea level, the angle of depression to a boat (A) is 29o. A tittle bit later the
boat has moved closer to the shore (B) and the angle of depression measures 44o. How far (to the nearest
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4. Two trees are 100 m apart. From the exact middle
are t2o and 16o. How much taller is one tree than the other (2 decimal places)?
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G.SRT.8 WORKSHEET #4
fire break through a window. The angle of elevation to the
windowsill is 32". The angte of elevation to the top of the building is 40". lf the firefighter is 72 ft from the
buitding, what is the distance from the roof to the window sill?
5. A firefighter on the ground sees the
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Jill are on either side of the church and 50 m apart. Jack sees the top of the steepte at 40o and
Jill sees the top of the steeple at 32o. How high is the steeple?
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7. Jack and Jill are 20 m apart. Jack sees the top of the building at 30o and Jill sees the top of the building at
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