Te propongo está solución.
Para el problema 11 podemos aplicar el criterio de semejanza, es decir :
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B1.5%7D%3D%5Cfrac%7B300%7D%7B30%7D%3D%5C%5C30x%3D%2815%29%28300%29%5C%5Cx%3D%5Cfrac%7B4500%7D%7B30%7D%3D%5C%5Cx%3D150%5C%2Cm" />
Para el problema 13 podemos aplicar semejanzas y el teorema de Pitágoras y se tiene :
<img src="https://tex.z-dn.net/?f=c%3D4%5C%2Cm%5C%5Ca%3D1.75%5C%2Cm%5C%5Cb%3D%3F%5C%5CC%3D90%5E%7Bo%7D%5C%2C%5Ctextsf%7Bluego%7D%5C%2C%5C%5C%20c%5E%7B2%7D%3D%20a%5E%7B2%7D%2Bb%5E%7B2%7D%5C%2C%5Ctextsf%7Bdespejando%20b%20nos%20queda%3A%7D%5C%5C%20b%5E%7B2%7D%3Dc%5E%7B2%7D-a%5E%7B2%7D%5C%5Cb%3D%5Csqrt%7Bc%5E%7B2%7D-a%5E%7B2%7D%7D%5C%5Cb%3D%5Csqrt%7B4%5E%7B2%7D-%281.75%29%5E%7B2%7D%7D%5C%5Cb%3D3.5%5C%2Cm" />
Luego aplicando semejanzas nos queda :
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B3.5%7D%3D%5Cfrac%7Bx%7D%7B1.75%7D%5C%5C%2810%29%281.75%29%3D3.5x%5C%5Cx%3D%5Cfrac%7B%2810%29%281.75%29%7D%7B3.5%7D%5C%5Cx%3D5%5C%2Cm" />
Para el problema 12 aplicaremos la ley de los senos.
<img src="https://tex.z-dn.net/?f=%20b_%7B1%7D%3D2.7%5C%2Cm%5C%5Cc_%7B1%7D%3D4%5C%2Cm%5C%5Cc_%7B2%7D%3D2.59%5C%2Cm%5C%5CA_%7B1%7D%3D45%5E%7Bo%7D%5C%5CC_%7B1%7D%3D90%5E%7Bo%7D%5C%5CA_%7B2%7D%3D45%5E%7Bo%7D%5C%5CC_%7B2%7D%3D90%5E%7Bo%7D" />
Luego
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BsinA%7D%3D%5Cfrac%7Bc%7D%7BsinC%7D%3D%5C%5CasinC%3DcsinA%5C%5Ca%3D%5Cfrac%7BcsinA%7D%7BsinC%7D%5C%5Ca%3D%5Cfrac%7B4sin45%7D%7Bsin90%7D%5C%5Ca%3D2.82%5C%2Cm" />
Para calcular la altura del gorila se tiene :
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BsinA%7D%3D%5Cfrac%7Bc%7D%7BsinC%7D%5C%5CasinC%3DcsinA%5C%5Ca%3D%5Cfrac%7BcsinA%7D%7BsinC%7D%3D%5C%5Ca%3D%5Cfrac%7B2.59sin45%7D%7Bsin90%7D%3D%5C%5Ca%3D1.83%5C%2Cm" />
Saludos.