braddypeter61
25.11.2021 •
Mathematics
What is QR? Enter your answer in the box. HHH 5.4 V 7 units T 6 18 # R. U S 1 2 3 4 5 Terms Uso w
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Ответ:
The value of b which is half the length of the side NM is 7 units.
Step-by-step explanation:
To solve the question, we note that it is a triangle trigonometry question. Therefore, we proceed as follows;
Since cot x = 3/4, then tan x = 4/3 and x = tan⁻¹(4/3) = 53.13 °
Therefore we have triangle LMN with M = 90 °
L = x = 53.13 °
Side LM = 10.5 units
Side NM = 2b units
But tan L = NM/LM = 2b/10.5
Angle L is known as 53.13 and tan x = tan L = 4/3
Therefore, 4/3 = 2b/10.5
and 2b = 10.5×4/3 = 14
b = 7 units