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denis-greek [22]
3 years ago
15

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?​
Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0

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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