The values of a, s1, s2, is equal to 11 and the value of u1 and u2 is equal 15.6.
Data Given;
Right - Angle Triangle
To solve this problem, we have to use some basic formulas in right-angle triangle such as trigonometric ratios and Pythagoreans theorem.
[tex]h = s_1 + s_2\\
s_1 = 11\\
h = 22\\
22 = 11 + s_2\\
s_2 = 22 - 11\\
s_2 = 11[/tex]
On the top of the triangle, we have another right-angle divided into two. This makes each side equal 90/2 = 45 degrees
Using trigonometric ratio SOHCAHTOA
We can solve for a using tangent of the angle
[tex]tan45 = \frac{11}{a}\\
a = \frac{11}{tan45}\\
a = 11[/tex]
The length of a is equal 11.
using the length of a, we can solve for u1 or u2 using Pythagorean theorem.
[tex]u_1^2 = a^2 + s_2\\
u_1^2 = 11^2 + 11^2\\
u_1^2 = 242\\
u_1 = \sqrt{242}\\
u_1 = 15.6[/tex]
Solving for u2
[tex]u_2^2 = a^2 + s_2^2\\
u_2^2 = 11^2 + 11^2\\
u_2^2= 242\\
u_2 = \sqrt{242}\\
u_2 = 15.6[/tex]
From the calculations above, the values of a, s1, s2, is equal to 11 and the value of u1 and u2 is equal 15.6.
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