the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of th
e shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?
1 answer:
Answer:
30.17feet high
Step-by-step explanation:
Given the following
the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)
angle of elevation = 38°
Required
Height of the flagpole (opposite)
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 38 = H/49
H = 49sin38
H = 49(0.6157)
H = 30.17feet
Hence the flagpole is 30.17feet high
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