Question:

Find the maximum value of 15sin θ + 20cos θ.

MHT CET

Updated On: Jun 23, 2024

(A) 25
(B) 35
(C) 30
(D) 5

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The Correct Option is A

Solution and Explanation

Explanation:
Given: 15sin θ + 20cos θHere a = 15 and b = 20Then the maximum value

= \sqrt{15^{2} + 20^{2}}

= \sqrt{225 + 400}

= \sqrt{(625)}

= 25

∴ The maximum value of 15sin θ + 20cos θ is 25.Hence, the correct option is (A).

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