What is the value of x?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answers
Answer:
13.28 ft
Step-by-step explanation:
We need to find the length of side of a triangle given the angles of triangle.
CONSTRUCTION: - Draw perpendicular from vertex M on side NP (Please refer the attachment)
From the figure we have,
tan ∠MNO = MO/NO
⇒tan 61° = MO/y
⇒MO =1.804 y --------------------------------------------------------------equation (1)
In triangle MOP,
tan ∠MPO = MO/OP
⇒tan 38° = MO/(15-y)
⇒MO = 0.7813 (15 - y) -----------------------------------------------equation (2)
From equation (1) and (2)
1.804 y = 0.7813 (15 - y)
⇒ y = 4.533 (please find the detailed solution in attachement)
Thus, ON = 4.533 ft
OP = 10.467 ft
In Δ MOP, By using Pythagoras theorem
MP² = MO² + OP²
⇒x² = 8.1775² + 10.467²
⇒x = √(176.43)
⇒x = 13.28 ft
PLEASE NOTE: Value of trigonometric angles can be found from trigonometric charts.
Answer:
The answer is 13.3
I took the test
Step-by-step explanation: