Question

If cot x° = three fourths, what is the value of b? Triangle LMN in which angle M measures 90 degrees, angle L measures x degrees, LM measures 10.5 units, and NM measures 2b units b = 4 b = 5 b = 6 b = 7

Answer 1

Answer:

(D)b=7

Step-by-step explanation:

$\cot x^\circ=\dfrac34$

$\cot x^\circ=\dfrac{LM}{MN}\\\dfrac{10.5}{2b}=\dfrac{3}{4}\\ Cross multiply\\3 \times 2b = 4 \times 10.5\\6b = 4 \times 10.5\\b=(4 \times 10.5) \div 6\\b=7$