ayoismeisalex
25.04.2020 •
Mathematics
Let V be a5 × 3 matrix whose columns are orthonormal vectors v1, v2, v3 in 5 (b) Write a singular value decomposition for PV that includes the vectors v1, v2, v3. What are the singular values of PV ? (c) Show that PVPV =PV (d) Show that the range of the matrix I − PV is the null space of PV and, moreover, (I − PV ) (I − PV ) = I − PV . The matrix PV is the orthogonal projector to V , and I − PV is the ⊥ R . Show that
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Ответ:
68.0°
Step-by-step explanation:
The tangent function relates the sides of a right triangle to the angle:
Tan = Opposite/Adjacent
The mast is opposite the angle of elevation, and the shadow is adjacent, so you have ...
tan(angle) = (42 ft)/(17 ft)
The inverse tangent function is used to find the angle whose tangent is a particular value.
angle = arctan(42/17) ≈ 67.964°
The angle of elevation is about 68.0°.