Question 1149060
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The diagonal of the yard can be found using the Pythagorean Theorem.<br>
{{{sqrt(55^2+35^2) = 65.192}}} to 3 decimal places.<br>
In the right triangle with the 17 degree angle of elevation to the top of the tree, the height of the tree is the side opposite the 17 degree angle and the diagonal of the yard is the side adjacent to that angle.  So the trig function is tangent.<br>
{{{tan(17) = h/65.192}}}
{{{h = 65.192*tan(17) = 19.93}}} to 2 decimal places<br>
From one of the other two corners of the yard, the tangent of the angle of elevation is 19.93/55; from the other corner it is 19.93/35.<br>
{{{tan(x) = 19.93/55}}}
{{{x = arctan(19.93/55)}}}<br>
And similarly<br>
{{{tan(x) = 19.93/35}}}
{{{x = arctan(19.93/35)}}}<br>
Use a calculator....<br>