3 years ago

Find the value of h in the following figure.

Mathematics

2 answers:

viktelen [127]3 years ago

7 0

40°
the sum of the two angles would be 180°

Ira Lisetskai [31]3 years ago

6 0

Answer:

h = 40°

Step-by-step explanation:

h = 180° - 140° = 40°

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4 years ago

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3 years ago

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The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle m

evablogger [386]

ANSWER

$x = 50.5 \degree$

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,

$\frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c}$

From the triangle,

$\frac{ \sin(x) }{60} = \frac{ \sin(40) }{50}$

We multiply both sides of the equation by 60 to get,

$sin(x) = \frac{ 60\sin(40 \degree) }{50}$

$sin(x) = 0.7713$

We solve for x to obtain,

$x = arcsin(0.7713)$

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To the nearest tenth, we round to one decimal place to get,

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3 years ago